Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850t |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-1.0558859916937E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9758442,11839401716] |
[a1,a2,a3,a4,a6] |
Generators |
[1999:16813:1] |
Generators of the group modulo torsion |
j |
-243602310198023065827/2502840869200000 |
j-invariant |
L |
4.73637657214 |
L(r)(E,1)/r! |
Ω |
0.1561562488239 |
Real period |
R |
0.54162515881757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850eh1 11970be1 |
Quadratic twists by: -3 5 |