Atkin-Lehner |
2+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
127534h |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
32788800 |
Modular degree for the optimal curve |
Δ |
5.5766646772457E+23 |
Discriminant |
Eigenvalues |
2+ -2 2 -3 11- 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-128926955,562303373718] |
[a1,a2,a3,a4,a6] |
Generators |
[-12937:261536:1] [40494:1567753:8] |
Generators of the group modulo torsion |
j |
1105639135842050995273/2601555228890048 |
j-invariant |
L |
6.4610350691637 |
L(r)(E,1)/r! |
Ω |
0.092413523770207 |
Real period |
R |
0.46609592836988 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999935346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127534n1 |
Quadratic twists by: -11 |