Atkin-Lehner |
2- 3+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484d |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
4289477578381008 = 24 · 32 · 139 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117173,15152058] |
[a1,a2,a3,a4,a6] |
Generators |
[242:954:1] [374:4848:1] |
Generators of the group modulo torsion |
j |
1048576000/25281 |
j-invariant |
L |
10.4396382355 |
L(r)(E,1)/r! |
Ω |
0.43657321339723 |
Real period |
R |
11.956343078652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107484e1 |
Quadratic twists by: 13 |