Atkin-Lehner |
2+ 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91630j |
Isogeny class |
Conductor |
91630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-845165945008000000 = -1 · 210 · 56 · 710 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1056890,420805300] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:22030:1] |
Generators of the group modulo torsion |
j |
-462203158954761/2992000000 |
j-invariant |
L |
3.0941222125155 |
L(r)(E,1)/r! |
Ω |
0.28314384681675 |
Real period |
R |
2.7319348783034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91630t1 |
Quadratic twists by: -7 |