Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775ch |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
13586015625 = 3 · 57 · 73 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-813,-7008] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:44:1] |
Generators of the group modulo torsion |
j |
11089567/2535 |
j-invariant |
L |
4.2373138957712 |
L(r)(E,1)/r! |
Ω |
0.90875809729261 |
Real period |
R |
1.1656880715561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555j1 47775s1 |
Quadratic twists by: 5 -7 |