Cremona's table of elliptic curves

7380 = 2² · 3² · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 41-	Signs for the Atkin-Lehner involutions
Class	7380b	Isogeny class
Conductor	7380	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-5164819200 = -1 · 28 · 39 · 52 · 41	Discriminant
Eigenvalues	2- 3+ 5+ -2 -1  0 -3  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,432,-108]	[a1,a2,a3,a4,a6]
Generators	[21:135:1]	Generators of the group modulo torsion
j	1769472/1025	j-invariant
L	3.5806090256494	L(r)(E,1)/r!
Ω	0.80995970765342	Real period
R	1.1051812182186	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	29520ba1 118080t1 7380c1 36900c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7380b1

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	-1	0	-3	4	2	9	-3	-5	-	-5	11	6	-6	-7	8	-5	11	0	0	-14	2

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Quadratic twists for elliptic curve 7380b1

-4	8	-3	5
29520ba1	118080t1	7380c1	36900c1

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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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