Cremona's table of elliptic curves

19824 = 2⁴ · 3 · 7 · 59

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 59-	Signs for the Atkin-Lehner involutions
Class	19824y	Isogeny class
Conductor	19824	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-1575937828749312 = -1 · 215 · 34 · 72 · 594	Discriminant
Eigenvalues	2- 3-  2 7- -4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,23008,1365492]	[a1,a2,a3,a4,a6]
Generators	[-1356:7910:27]	Generators of the group modulo torsion
j	328837618515167/384750446472	j-invariant
L	7.2480159597934	L(r)(E,1)/r!
Ω	0.31734505386797	Real period
R	5.7098857154465	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	2478e4 79296bm3 59472bj3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 19824y4

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	-	-4	2	2	-4	0	-6	4	2	-6	-4	-8	-6	-	10	-4	-12	2	0	-12	10	2

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Quadratic twists for elliptic curve 19824y4

-4	8	-3
2478e4	79296bm3	59472bj3

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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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