Cremona's table of elliptic curves

5180 = 2² · 5 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 5- 7+ 37-	Signs for the Atkin-Lehner involutions
Class	5180d	Isogeny class
Conductor	5180	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	4200	Modular degree for the optimal curve
Δ	-31092950000 = -1 · 24 · 55 · 75 · 37	Discriminant
Eigenvalues	2- -1 5- 7+  0  0  4  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4870,-129475]	[a1,a2,a3,a4,a6]
j	-798508948769536/1943309375	j-invariant
L	1.4285208169621	L(r)(E,1)/r!
Ω	0.28570416339242	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	20720p1 82880a1 46620r1 25900c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5180d1

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	-	+	0	0	4	7	-1	-6	-1	-	-4	4	-7	-6	-9	7	-12	13	10	-4	-1	2	0

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Quadratic twists for elliptic curve 5180d1

-4	8	-3	5	-7
20720p1	82880a1	46620r1	25900c1	36260e1

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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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