Cremona's table of elliptic curves

73920 = 2⁶ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	73920bh	Isogeny class
Conductor	73920	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	75561615360000 = 217 · 32 · 54 · 7 · 114	Discriminant
Eigenvalues	2+ 3+ 5- 7+ 11- -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-14785,556225]	[a1,a2,a3,a4,a6]
Generators	[-125:660:1]	Generators of the group modulo torsion
j	2727138195938/576489375	j-invariant
L	4.814962848825	L(r)(E,1)/r!
Ω	0.57891383792696	Real period
R	1.0396544642233	Regulator
r	1	Rank of the group of rational points
S	1.000000000169	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	73920ic4 9240bb3	Quadratic twists by: -4 8

Hecke Eigenvalues for elliptic curve 73920bh4

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	-6	-4	4	6	-8	-10	6	4	0	6	0	-2	4	0	-6	4	0	-14	14

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Quadratic twists for elliptic curve 73920bh4

-4	8
73920ic4	9240bb3

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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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