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	73920ha	Isogeny class
Conductor	73920	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	33188928314572800 = 215 · 33 · 52 · 7 · 118	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-221121,38976255]	[a1,a2,a3,a4,a6]
Generators	[327:1320:1]	Generators of the group modulo torsion
j	36489314991346568/1012845712725	j-invariant
L	7.269547467029	L(r)(E,1)/r!
Ω	0.3675241550678	Real period
R	0.41207878030074	Regulator
r	1	Rank of the group of rational points
S	1.0000000000773	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	73920ed4 36960bl3	Quadratic twists by: -4 8

Hecke Eigenvalues for elliptic curve 73920ha4

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	-2	-4	-4	2	0	2	6	-8	8	10	-12	6	0	-12	10	-16	4	14	2

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Quadratic twists for elliptic curve 73920ha4

-4	8
73920ed4	36960bl3

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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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