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	2394a	Isogeny class
Conductor	2394	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	423377865792 = 26 · 39 · 72 · 193	Discriminant
Eigenvalues	2+ 3+  0 7-  0  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-4362,-105292]	[a1,a2,a3,a4,a6]
Generators	[-37:85:1]	Generators of the group modulo torsion
j	466385893875/21509824	j-invariant
L	2.454843576762	L(r)(E,1)/r!
Ω	0.58913112484024	Real period
R	0.69448137923105	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	19152bd3 76608h3 2394g1 59850ds3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394a3

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 2394a3

-4	8	-3	5	-7	-19
19152bd3	76608h3	2394g1	59850ds3	16758a3	45486w3

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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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