Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400bl |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
78790000640000000 = 228 · 57 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122408,-9492812] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:2550:1] |
Generators of the group modulo torsion |
j |
3169397364769/1231093760 |
j-invariant |
L |
3.657256887674 |
L(r)(E,1)/r! |
Ω |
0.26381272789494 |
Real period |
R |
1.7328849702186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050f1 17680h1 |
Quadratic twists by: -4 5 |