Cremona's table of elliptic curves

2418 = 2 · 3 · 13 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 13- 31-	Signs for the Atkin-Lehner involutions
Class	2418b	Isogeny class
Conductor	2418	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-42537905855397888 = -1 · 245 · 3 · 13 · 31	Discriminant
Eigenvalues	2+ 3-  0 -1  0 13-  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,27189,-9769610]	[a1,a2,a3,a4,a6]
j	2222933022458732375/42537905855397888	j-invariant
L	1.5819029557282	L(r)(E,1)/r!
Ω	0.17576699508091	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	19344m3 77376b3 7254o3 60450bt3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2418b3

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	-1	0	-	3	2	0	6	-	2	3	-10	12	-6	9	-1	14	0	11	-1	6	-6	8

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Quadratic twists for elliptic curve 2418b3

-4	8	-3	5	-7	13	-31
19344m3	77376b3	7254o3	60450bt3	118482d3	31434s3	74958d3

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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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