Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gw |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-10450944000 = -1 · 214 · 36 · 53 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 1 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1440,-21600] |
[a1,a2,a3,a4,a6] |
Generators |
[365365:4575995:2197] |
Generators of the group modulo torsion |
j |
-221184/7 |
j-invariant |
L |
7.3979116454348 |
L(r)(E,1)/r! |
Ω |
0.38678560880292 |
Real period |
R |
9.563323311877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800pu1 6300v1 11200bj1 100800hy1 |
Quadratic twists by: -4 8 -3 5 |