Cremona's table of elliptic curves

Curve 70756a1

70756 = 22 · 72 · 192



Data for elliptic curve 70756a1

Field Data Notes
Atkin-Lehner 2- 7+ 19- Signs for the Atkin-Lehner involutions
Class 70756a Isogeny class
Conductor 70756 Conductor
∏ cp 3 Product of Tamagawa factors cp
deg 301644 Modular degree for the optimal curve
Δ 4339362269354896 = 24 · 78 · 196 Discriminant
Eigenvalues 2- -1  3 7+ -3 -2  3 19- Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-41274,623701] [a1,a2,a3,a4,a6]
Generators [-5:911:1] Generators of the group modulo torsion
j 1792 j-invariant
L 6.0740290776145 L(r)(E,1)/r!
Ω 0.3781395932626 Real period
R 5.3543093486839 Regulator
r 1 Rank of the group of rational points
S 0.99999999994634 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 70756f1 196b1 Quadratic twists by: -7 -19


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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