Cremona's table of elliptic curves

5418 = 2 · 3² · 7 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 43-	Signs for the Atkin-Lehner involutions
Class	5418f	Isogeny class
Conductor	5418	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	32640	Modular degree for the optimal curve
Δ	12922517678063616 = 217 · 311 · 7 · 433	Discriminant
Eigenvalues	2+ 3- -1 7+  4 -3  1 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-98910,10675732]	[a1,a2,a3,a4,a6]
Generators	[83:1700:1]	Generators of the group modulo torsion
j	146797702716641761/17726361698304	j-invariant
L	2.6622506422709	L(r)(E,1)/r!
Ω	0.38538285099197	Real period
R	0.5756722688054	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	43344bk1 1806i1 37926w1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 5418f1

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
+	-	-1	+	4	-3	1	-1	1	8	-3	-1	-9	-	-6	3	11	0	-5	10	-2	-6	4	-18	-2

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Quadratic twists for elliptic curve 5418f1

-4	-3	-7
43344bk1	1806i1	37926w1

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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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