Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bl |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
345278996288512 = 210 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 1 -4 0 11- 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78085,-8376821] |
[a1,a2,a3,a4,a6] |
Generators |
[104895:2844208:125] |
Generators of the group modulo torsion |
j |
1982464/13 |
j-invariant |
L |
5.3908935465082 |
L(r)(E,1)/r! |
Ω |
0.28571219279313 |
Real period |
R |
9.434132807103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672eb1 6292f1 100672m1 |
Quadratic twists by: -4 8 -11 |