Atkin-Lehner |
2+ 3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382c |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
8547840 |
Modular degree for the optimal curve |
Δ |
-4.8771747139019E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61386735,185401902393] |
[a1,a2,a3,a4,a6] |
Generators |
[3856:75835:1] |
Generators of the group modulo torsion |
j |
-217449837830486975883625/414553010556986532 |
j-invariant |
L |
3.7624750496168 |
L(r)(E,1)/r! |
Ω |
0.11305586199384 |
Real period |
R |
1.1885638353368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626d1 |
Quadratic twists by: -7 |