Atkin-Lehner |
3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128877g |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
195200 |
Modular degree for the optimal curve |
Δ |
17637719589 = 32 · 75 · 17 · 193 |
Discriminant |
Eigenvalues |
-2 3+ -3 7- -6 -1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-652,762] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:28:1] [-20:73:1] |
Generators of the group modulo torsion |
j |
4475809792/2571471 |
j-invariant |
L |
3.6596529031008 |
L(r)(E,1)/r! |
Ω |
1.0498406901199 |
Real period |
R |
0.17429563094113 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999826716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128877o1 |
Quadratic twists by: -19 |