Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ci |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1397760 = 210 · 3 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1821,-30525] |
[a1,a2,a3,a4,a6] |
Generators |
[682:5313:8] |
Generators of the group modulo torsion |
j |
652517349376/1365 |
j-invariant |
L |
8.8994653880583 |
L(r)(E,1)/r! |
Ω |
0.73080624550856 |
Real period |
R |
6.0887994854193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000021893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360eb1 10920g1 |
Quadratic twists by: -4 8 |