Atkin-Lehner |
5+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
128975g |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
886703125 = 56 · 7 · 112 · 67 |
Discriminant |
Eigenvalues |
1 1 5+ 7- 11- -5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-501,4023] |
[a1,a2,a3,a4,a6] |
Generators |
[33:137:1] |
Generators of the group modulo torsion |
j |
887503681/56749 |
j-invariant |
L |
7.2378446843349 |
L(r)(E,1)/r! |
Ω |
1.5496383354349 |
Real period |
R |
2.3353335133563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5159g1 |
Quadratic twists by: 5 |