Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31654x |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
9830400 |
Modular degree for the optimal curve |
Δ |
1.7876749094342E+25 |
Discriminant |
Eigenvalues |
2- -2 2 7- 0 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-79705312,183392781312] |
[a1,a2,a3,a4,a6] |
Generators |
[-7232:621344:1] |
Generators of the group modulo torsion |
j |
475989388412119272207217/151949860129212465152 |
j-invariant |
L |
7.2323105661555 |
L(r)(E,1)/r! |
Ω |
0.063814296679153 |
Real period |
R |
3.5416782281358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4522f1 |
Quadratic twists by: -7 |