Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786ca |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
36362254962130944 = 222 · 3 · 77 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-368579,85484321] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:10822:1] [83:7406:1] |
Generators of the group modulo torsion |
j |
47068169409852193/309074067456 |
j-invariant |
L |
12.494616322892 |
L(r)(E,1)/r! |
Ω |
0.36800106911417 |
Real period |
R |
0.77165143422728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398be1 |
Quadratic twists by: -7 |