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	2394g	Isogeny class
Conductor	2394	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	175992080292 = 22 · 39 · 76 · 19	Discriminant
Eigenvalues	2- 3+  0 7-  0  2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-6185,-184571]	[a1,a2,a3,a4,a6]
j	1329185824875/8941324	j-invariant
L	3.2314497280754	L(r)(E,1)/r!
Ω	0.53857495467923	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19152bc3 76608g3 2394a1 59850f3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394g3

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

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Quadratic twists for elliptic curve 2394g3

-4	8	-3	5	-7	-19
19152bc3	76608g3	2394a1	59850f3	16758q3	45486a3

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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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