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	192	Product of Tamagawa factors cp
Δ	-1573602211324786608 = -1 · 24 · 39 · 712 · 192	Discriminant
Eigenvalues	2- 3+  0 7-  6  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1255070,-544231331]	[a1,a2,a3,a4,a6]
j	-11108001800138902875/79947274872976	j-invariant
L	3.4218198459993	L(r)(E,1)/r!
Ω	0.071287913458318	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	19152bh4 76608n4 2394b2 59850m4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394h4

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 2394h4

-4	8	-3	5	-7	-19
19152bh4	76608n4	2394b2	59850m4	16758r4	45486b4

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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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