Atkin-Lehner |
2- 3+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
90768c |
Isogeny class |
Conductor |
90768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
-14178350813184 = -1 · 212 · 310 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 1 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11696,523392] |
[a1,a2,a3,a4,a6] |
Generators |
[26:486:1] [66:186:1] |
Generators of the group modulo torsion |
j |
-43202907409969/3461511429 |
j-invariant |
L |
9.3470774049778 |
L(r)(E,1)/r! |
Ω |
0.6901230556474 |
Real period |
R |
1.6930091902134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5673d1 |
Quadratic twists by: -4 |