Atkin-Lehner |
2- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9200q |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
964689920000000000 = 232 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 3 3 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2001875,-1089168750] |
[a1,a2,a3,a4,a6] |
j |
22180666338225/24117248 |
j-invariant |
L |
2.2847630839934 |
L(r)(E,1)/r! |
Ω |
0.12693128244408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1150a1 36800bx1 82800dz1 9200bh1 |
Quadratic twists by: -4 8 -3 5 |