Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cc |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
2.6475922675872E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7981563,8640502281] |
[a1,a2,a3,a4,a6] |
Generators |
[-2205:125702:1] |
Generators of the group modulo torsion |
j |
24310870577209/114462720 |
j-invariant |
L |
9.4144942188804 |
L(r)(E,1)/r! |
Ω |
0.17535003092655 |
Real period |
R |
4.4741434067194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002149 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15870p1 3450o1 |
Quadratic twists by: 5 -23 |