Cremona's table of elliptic curves

7920 = 2⁴ · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	7920f	Isogeny class
Conductor	7920	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	269376814080 = 210 · 314 · 5 · 11	Discriminant
Eigenvalues	2+ 3- 5+  4 11+  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-10803,431458]	[a1,a2,a3,a4,a6]
j	186779563204/360855	j-invariant
L	1.9612012141814	L(r)(E,1)/r!
Ω	0.98060060709069	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3960f3 31680ed4 2640n3 39600v4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7920f4

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
+	-	+	4	+	2	-6	-4	-8	10	0	-10	6	8	0	2	12	-2	12	8	-2	8	-8	6	-6

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Quadratic twists for elliptic curve 7920f4

-4	8	-3	5	-11
3960f3	31680ed4	2640n3	39600v4	87120bm4

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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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