Atkin-Lehner |
5- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59675r |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-1011677734375 = -1 · 59 · 72 · 11 · 312 |
Discriminant |
Eigenvalues |
-1 2 5- 7- 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,112,-48344] |
[a1,a2,a3,a4,a6] |
Generators |
[1308:6664:27] |
Generators of the group modulo torsion |
j |
79507/517979 |
j-invariant |
L |
5.2858340710637 |
L(r)(E,1)/r! |
Ω |
0.40579495234859 |
Real period |
R |
6.5129371867594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59675l1 |
Quadratic twists by: 5 |