Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
80100n |
Isogeny class |
Conductor |
80100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
7218011250000 = 24 · 36 · 57 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2970300,1970373625] |
[a1,a2,a3,a4,a6] |
Generators |
[990:275:1] |
Generators of the group modulo torsion |
j |
15902196690141184/39605 |
j-invariant |
L |
8.2307489713295 |
L(r)(E,1)/r! |
Ω |
0.48902611752449 |
Real period |
R |
1.4025748792317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8900c1 16020c1 |
Quadratic twists by: -3 5 |