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	288	Product of Tamagawa factors cp
Δ	139919520423739392 = 236 · 37 · 72 · 19	Discriminant
Eigenvalues	2- 3-  0 7- -6 -4  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5505035,4972852379]	[a1,a2,a3,a4,a6]
Generators	[-1173:99658:1]	Generators of the group modulo torsion
j	25309080274342544331625/191933498523648	j-invariant
L	4.4416452724758	L(r)(E,1)/r!
Ω	0.29329737264603	Real period
R	1.8929786313822	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	19152bl5 76608ce5 798e5 59850br5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394n5

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 2394n5

-4	8	-3	5	-7	-19
19152bl5	76608ce5	798e5	59850br5	16758bd5	45486q5

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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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