Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800dk |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
3951369912320000 = 238 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -3 3 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-320300,-69706800] |
[a1,a2,a3,a4,a6] |
j |
22180666338225/24117248 |
j-invariant |
L |
0.40139195886054 |
L(r)(E,1)/r! |
Ω |
0.20069597942472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800bh1 9200bh1 36800bx1 |
Quadratic twists by: -4 8 5 |