Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
105280v |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
264126464000000 = 220 · 56 · 73 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16161,112735] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:625:1] |
Generators of the group modulo torsion |
j |
1780800847561/1007562500 |
j-invariant |
L |
2.6502589444339 |
L(r)(E,1)/r! |
Ω |
0.47507414771256 |
Real period |
R |
2.7893108497696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999815661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280f1 26320j1 |
Quadratic twists by: -4 8 |