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	2394h	Isogeny class
Conductor	2394	Conductor
∏ cp	288	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	152244125171712 = 224 · 33 · 72 · 193	Discriminant
Eigenvalues	2- 3+  0 7-  6  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-16910,-599011]	[a1,a2,a3,a4,a6]
j	19804628171203875/5638671302656	j-invariant
L	3.4218198459993	L(r)(E,1)/r!
Ω	0.42772748074991	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	19152bh1 76608n1 2394b3 59850m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394h1

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

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Quadratic twists for elliptic curve 2394h1

-4	8	-3	5	-7	-19
19152bh1	76608n1	2394b3	59850m1	16758r1	45486b1

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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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