Cremona's table of elliptic curves

Curve 70560ec1

70560 = 25 · 32 · 5 · 72



Data for elliptic curve 70560ec1

Field Data Notes
Atkin-Lehner 2- 3- 5- 7- Signs for the Atkin-Lehner involutions
Class 70560ec Isogeny class
Conductor 70560 Conductor
∏ cp 40 Product of Tamagawa factors cp
deg 460800 Modular degree for the optimal curve
Δ -7684644441600000 = -1 · 212 · 36 · 55 · 77 Discriminant
Eigenvalues 2- 3- 5- 7- -3  7 -5  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,15288,4154416] [a1,a2,a3,a4,a6]
Generators [252:4900:1] Generators of the group modulo torsion
j 1124864/21875 j-invariant
L 7.1455308132153 L(r)(E,1)/r!
Ω 0.31109767574867 Real period
R 0.57421923803944 Regulator
r 1 Rank of the group of rational points
S 1.0000000000344 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 70560bo1 7840c1 10080br1 Quadratic twists by: -4 -3 -7


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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