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	10200c	Isogeny class
Conductor	10200	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	3569184000000 = 211 · 38 · 56 · 17	Discriminant
Eigenvalues	2+ 3+ 5+  4  4 -6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-18808,-982388]	[a1,a2,a3,a4,a6]
Generators	[1786:19425:8]	Generators of the group modulo torsion
j	22994537186/111537	j-invariant
L	4.47541275811	L(r)(E,1)/r!
Ω	0.40779205604748	Real period
R	5.4873711880117	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	20400z3 81600dg4 30600co4 408b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10200c3

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	4	-6	+	4	4	-6	-4	-10	-6	-4	8	-6	-4	-14	12	-12	-10	-4	-4	-6	6

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Quadratic twists for elliptic curve 10200c3

-4	8	-3	5
20400z3	81600dg4	30600co4	408b3

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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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