Cremona's table of elliptic curves

2340 = 2² · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13+	Signs for the Atkin-Lehner involutions
Class	2340g	Isogeny class
Conductor	2340	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-133254201600 = -1 · 28 · 36 · 52 · 134	Discriminant
Eigenvalues	2- 3- 5-  2 -4 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2487,-50866]	[a1,a2,a3,a4,a6]
j	-9115564624/714025	j-invariant
L	2.0190869746953	L(r)(E,1)/r!
Ω	0.33651449578254	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	9360bv2 37440br2 260a2 11700r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2340g2

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	-4	+	-2	0	6	10	0	10	2	2	6	-2	8	2	-6	8	10	-16	-6	-10	2

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Quadratic twists for elliptic curve 2340g2

-4	8	-3	5	-7	13
9360bv2	37440br2	260a2	11700r2	114660bd2	30420k2

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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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