Atkin-Lehner |
5- 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90475k |
Isogeny class |
Conductor |
90475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
9895703125 = 58 · 72 · 11 · 47 |
Discriminant |
Eigenvalues |
1 -1 5- 7- 11- -5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1325,-18500] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:26:1] [-170:285:8] |
Generators of the group modulo torsion |
j |
659361145/25333 |
j-invariant |
L |
11.006916574924 |
L(r)(E,1)/r! |
Ω |
0.79310254457722 |
Real period |
R |
2.3130503214762 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90475b1 |
Quadratic twists by: 5 |