Cremona's table of elliptic curves

10200 = 2³ · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 17-	Signs for the Atkin-Lehner involutions
Class	10200r	Isogeny class
Conductor	10200	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-1792968750000000000 = -1 · 210 · 33 · 518 · 17	Discriminant
Eigenvalues	2+ 3- 5+  0 -4 -6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,114592,-62631312]	[a1,a2,a3,a4,a6]
Generators	[1087:36708:1]	Generators of the group modulo torsion
j	10400706415004/112060546875	j-invariant
L	5.0676700014361	L(r)(E,1)/r!
Ω	0.13029760694423	Real period
R	6.482173285558	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	20400f4 81600v3 30600ca3 2040j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10200r4

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

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Quadratic twists for elliptic curve 10200r4

-4	8	-3	5
20400f4	81600v3	30600ca3	2040j4

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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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