Atkin-Lehner |
3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39975r |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
30617077359375 = 37 · 56 · 13 · 413 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 1 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7963,62042] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:572:1] |
Generators of the group modulo torsion |
j |
3573857582569/1959492951 |
j-invariant |
L |
4.0864686345904 |
L(r)(E,1)/r! |
Ω |
0.57433696438794 |
Real period |
R |
0.33881459242607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119925o1 1599d1 |
Quadratic twists by: -3 5 |