Cremona's table of elliptic curves

10220 = 2² · 5 · 7 · 73

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 73-	Signs for the Atkin-Lehner involutions
Class	10220d	Isogeny class
Conductor	10220	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	-5891626622000 = -1 · 24 · 53 · 79 · 73	Discriminant
Eigenvalues	2-  1 5+ 7-  0  2  0  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5341,-192080]	[a1,a2,a3,a4,a6]
j	-1053301673426944/368226663875	j-invariant
L	2.4695683878408	L(r)(E,1)/r!
Ω	0.27439648753786	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40880o2 91980bk2 51100c2 71540i2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10220d2

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
-	1	+	-	0	2	0	8	6	0	-7	2	-6	11	-12	-3	9	8	8	-9	-	-1	-12	0	14

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Quadratic twists for elliptic curve 10220d2

-4	-3	5	-7
40880o2	91980bk2	51100c2	71540i2

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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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