Cremona's table of elliptic curves

1210 = 2 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 5- 11+	Signs for the Atkin-Lehner involutions
Class	1210d	Isogeny class
Conductor	1210	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	4752	Modular degree for the optimal curve
Δ	-150908652224000 = -1 · 29 · 53 · 119	Discriminant
Eigenvalues	2+ -1 5-  3 11+  0  3  3	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-23597,-1525091]	[a1,a2,a3,a4,a6]
j	-616295051/64000	j-invariant
L	1.1488421167956	L(r)(E,1)/r!
Ω	0.1914736861326	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	9680v1 38720a1 10890bm1 6050w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1210d1

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	-	3	+	0	3	3	0	9	-5	-11	6	-12	6	-3	12	15	4	-3	-6	12	12	9	-10

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Quadratic twists for elliptic curve 1210d1

-4	8	-3	5	-7	-11
9680v1	38720a1	10890bm1	6050w1	59290g1	1210k1

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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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