Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288w |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
49434556968731648 = 210 · 76 · 177 |
Discriminant |
Eigenvalues |
2- 2 0 7- -2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-118008,11398556] |
[a1,a2,a3,a4,a6] |
Generators |
[-2023462:31017792:6859] |
Generators of the group modulo torsion |
j |
62500/17 |
j-invariant |
L |
10.081883744984 |
L(r)(E,1)/r! |
Ω |
0.33294178077654 |
Real period |
R |
7.5703053381604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999838786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2312d1 6664e1 |
Quadratic twists by: -7 17 |