Atkin-Lehner |
2- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
87100i |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
105753600 |
Modular degree for the optimal curve |
Δ |
-1.9167313971885E+23 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 6 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2290650925,42197481851125] |
[a1,a2,a3,a4,a6] |
Generators |
[20689:1913587:1] |
Generators of the group modulo torsion |
j |
-5316923824199671984353697536/766692558875384375 |
j-invariant |
L |
3.1034567864524 |
L(r)(E,1)/r! |
Ω |
0.07870215182395 |
Real period |
R |
1.0953592868899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420l1 |
Quadratic twists by: 5 |