Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948u |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1150848 |
Modular degree for the optimal curve |
Δ |
181508767830883584 = 28 · 318 · 72 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 3 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142669,3219049] |
[a1,a2,a3,a4,a6] |
Generators |
[-46720:255879:125] |
Generators of the group modulo torsion |
j |
25602334203486208/14469767843661 |
j-invariant |
L |
4.7595135295177 |
L(r)(E,1)/r! |
Ω |
0.27576132936501 |
Real period |
R |
2.8765898780391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129948w1 |
Quadratic twists by: -7 |