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	3870u	Isogeny class
Conductor	3870	Conductor
∏ cp	106	Product of Tamagawa factors cp
deg	8547840	Modular degree for the optimal curve
Δ	-3.618143861185E+30	Discriminant
Eigenvalues	2- 3- 5+ -3 -4 -3  0  7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,1082069572,90485275778687]	[a1,a2,a3,a4,a6]
j	192203697666261893287480365959/4963160303408775168000000000	j-invariant
L	1.9858972676895	L(r)(E,1)/r!
Ω	0.018734879883863	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	30960bh1 123840ct1 1290h1 19350q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3870u1

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
-	-	+	-3	-4	-3	0	7	4	-1	3	12	-9	-	-6	6	4	3	1	10	11	13	0	16	10

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Quadratic twists for elliptic curve 3870u1

-4	8	-3	5
30960bh1	123840ct1	1290h1	19350q1

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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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