Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lm |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
-9.2970934415917E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -3 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7116180,12720979280] |
[a1,a2,a3,a4,a6] |
Generators |
[248770:23306992:125] |
Generators of the group modulo torsion |
j |
16683494528422270/38919722282469 |
j-invariant |
L |
5.8287630119586 |
L(r)(E,1)/r! |
Ω |
0.074537020801762 |
Real period |
R |
9.774946335372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999747335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800fa1 25200ba1 33600eh1 100800pq1 |
Quadratic twists by: -4 8 -3 5 |