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	2394f	Isogeny class
Conductor	2394	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	215469092412 = 22 · 310 · 7 · 194	Discriminant
Eigenvalues	2+ 3- -2 7+  0  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1953,-24111]	[a1,a2,a3,a4,a6]
Generators	[-21:96:1]	Generators of the group modulo torsion
j	1130389181713/295568028	j-invariant
L	2.0816779313295	L(r)(E,1)/r!
Ω	0.73208165037232	Real period
R	0.35543814174805	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	19152bu4 76608bb3 798i4 59850fl3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394f3

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

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Quadratic twists for elliptic curve 2394f3

-4	8	-3	5	-7	-19
19152bu4	76608bb3	798i4	59850fl3	16758j4	45486bi3

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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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