Cremona's table of elliptic curves

3870 = 2 · 3² · 5 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 43-	Signs for the Atkin-Lehner involutions
Class	3870d	Isogeny class
Conductor	3870	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	745346396160 = 212 · 39 · 5 · 432	Discriminant
Eigenvalues	2+ 3+ 5- -4  0  2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2949144,-1948623040]	[a1,a2,a3,a4,a6]
Generators	[35825894:377400587:17576]	Generators of the group modulo torsion
j	144118734029937784467/37867520	j-invariant
L	2.5354225959551	L(r)(E,1)/r!
Ω	0.11520612072762	Real period
R	11.00385370127	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	30960y4 123840f4 3870m2 19350bq4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3870d4

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	0	2	-6	2	6	6	-4	-4	0	-	6	-6	12	-10	-4	0	-4	-4	-6	-6	-10

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Quadratic twists for elliptic curve 3870d4

-4	8	-3	5
30960y4	123840f4	3870m2	19350bq4

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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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