Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62530s |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
27675648 |
Modular degree for the optimal curve |
Δ |
9.8556084224E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -6 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-333233998,-2340810336419] |
[a1,a2,a3,a4,a6] |
Generators |
[-10559:27067:1] |
Generators of the group modulo torsion |
j |
1862694211159744176621013677/448593920000000000000 |
j-invariant |
L |
4.7483822000961 |
L(r)(E,1)/r! |
Ω |
0.035336091051893 |
Real period |
R |
4.7992031240758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62530i1 |
Quadratic twists by: 13 |