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	2394b	Isogeny class
Conductor	2394	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-9106783378681540608 = -1 · 212 · 39 · 74 · 196	Discriminant
Eigenvalues	2+ 3+  0 7- -6  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,400773,107342693]	[a1,a2,a3,a4,a6]
Generators	[-202:4357:1]	Generators of the group modulo torsion
j	361682234074684125/462672528510976	j-invariant
L	2.3784449923133	L(r)(E,1)/r!
Ω	0.15520971436106	Real period
R	0.63850304143454	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	19152bg4 76608m4 2394h2 59850ea4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394b4

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 2394b4

-4	8	-3	5	-7	-19
19152bg4	76608m4	2394h2	59850ea4	16758b4	45486x4

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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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