Atkin-Lehner |
2- 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113498m |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
654720 |
Modular degree for the optimal curve |
Δ |
-613727194096324 = -1 · 22 · 710 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 11- 1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82171,9164719] |
[a1,a2,a3,a4,a6] |
Generators |
[1189609:1653904:6859] |
Generators of the group modulo torsion |
j |
-507094737590755017/5072125571044 |
j-invariant |
L |
13.741709206814 |
L(r)(E,1)/r! |
Ω |
0.51669855606182 |
Real period |
R |
3.3244018666561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113498g1 |
Quadratic twists by: -11 |