Cremona's table of elliptic curves

1482 = 2 · 3 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 13- 19+	Signs for the Atkin-Lehner involutions
Class	1482d	Isogeny class
Conductor	1482	Conductor
∏ cp	224	Product of Tamagawa factors cp
Δ	201993839889813504 = 212 · 314 · 134 · 192	Discriminant
Eigenvalues	2+ 3- -2  0  0 13- -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-168147,-15399890]	[a1,a2,a3,a4,a6]
Generators	[-340:1749:1]	Generators of the group modulo torsion
j	525759790900426992937/201993839889813504	j-invariant
L	2.2268951683625	L(r)(E,1)/r!
Ω	0.24354973825772	Real period
R	0.65310659635775	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	11856y2 47424m2 4446t2 37050bj2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1482d2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	-2	0	0	-	-6	+	4	-6	0	-2	-2	12	-12	2	-4	-2	-4	-8	-6	-8	-16	14	-6

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Quadratic twists for elliptic curve 1482d2

-4	8	-3	5	-7	13	-19
11856y2	47424m2	4446t2	37050bj2	72618k2	19266ba2	28158m2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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