Atkin-Lehner |
2+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
117208f |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
529536 |
Modular degree for the optimal curve |
Δ |
-1989204262269952 = -1 · 210 · 710 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -5 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20008,-2399844] |
[a1,a2,a3,a4,a6] |
Generators |
[25440954:660427244:35937] |
Generators of the group modulo torsion |
j |
-3062500/6877 |
j-invariant |
L |
8.3182055890382 |
L(r)(E,1)/r! |
Ω |
0.18775352350934 |
Real period |
R |
11.075964682475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117208a1 |
Quadratic twists by: -7 |