Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280em |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
590180693114880 = 216 · 37 · 5 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24843,951482] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:882:1] [-91:1568:1] |
Generators of the group modulo torsion |
j |
4826809/1680 |
j-invariant |
L |
8.2518931933286 |
L(r)(E,1)/r! |
Ω |
0.47395948745112 |
Real period |
R |
1.088159090045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4410be1 11760bx1 5040bo1 |
Quadratic twists by: -4 -3 -7 |