Atkin-Lehner |
2- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9200u |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
2411724800 = 222 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -5 -7 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-368,1472] |
[a1,a2,a3,a4,a6] |
j |
53969305/23552 |
j-invariant |
L |
2.6139997795596 |
L(r)(E,1)/r! |
Ω |
1.3069998897798 |
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 |
1150g1 36800cf1 82800dv1 9200bk1 |
Quadratic twists by: -4 8 -3 5 |