Cremona's table of elliptic curves

2394 = 2 · 3² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 19-	Signs for the Atkin-Lehner involutions
Class	2394n	Isogeny class
Conductor	2394	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2854797754749948 = 22 · 324 · 7 · 192	Discriminant
Eigenvalues	2- 3-  0 7- -6 -4  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-71465,-6871507]	[a1,a2,a3,a4,a6]
Generators	[663:15058:1]	Generators of the group modulo torsion
j	55369510069623625/3916046302812	j-invariant
L	4.4416452724758	L(r)(E,1)/r!
Ω	0.29329737264603	Real period
R	3.7859572627644	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19152bl2 76608ce2 798e2 59850br2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394n2

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
-	-	0	-	-6	-4	0	-	-6	-6	-4	2	6	8	-12	-6	12	-10	14	12	2	-10	-12	-18	8

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Quadratic twists for elliptic curve 2394n2

-4	8	-3	5	-7	-19
19152bl2	76608ce2	798e2	59850br2	16758bd2	45486q2

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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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