Atkin-Lehner |
2- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8510d |
Isogeny class |
Conductor |
8510 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
-78292000 = -1 · 25 · 53 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 1 4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,92,231] |
[a1,a2,a3,a4,a6] |
Generators |
[3:21:1] |
Generators of the group modulo torsion |
j |
86997194991/78292000 |
j-invariant |
L |
5.1018937219788 |
L(r)(E,1)/r! |
Ω |
1.2597763906388 |
Real period |
R |
0.40498407176784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68080o1 76590be1 42550g1 |
Quadratic twists by: -4 -3 5 |