Cremona's table of elliptic curves

10320 = 2⁴ · 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 43+	Signs for the Atkin-Lehner involutions
Class	10320bb	Isogeny class
Conductor	10320	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	330240000 = 212 · 3 · 54 · 43	Discriminant
Eigenvalues	2- 3- 5+  0 -4  6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-11016,-448716]	[a1,a2,a3,a4,a6]
Generators	[380:7098:1]	Generators of the group modulo torsion
j	36097320816649/80625	j-invariant
L	5.0288826477119	L(r)(E,1)/r!
Ω	0.46600475246453	Real period
R	5.3957418042584	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	645a4 41280ck4 30960bt4 51600bz4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10320bb3

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

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Quadratic twists for elliptic curve 10320bb3

-4	8	-3	5
645a4	41280ck4	30960bt4	51600bz4

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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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