Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
9200i |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
588800 = 210 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 5 1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,-288] |
[a1,a2,a3,a4,a6] |
j |
2977540/23 |
j-invariant |
L |
3.1160231061516 |
L(r)(E,1)/r! |
Ω |
1.5580115530758 |
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 |
4600d1 36800cx1 82800p1 9200m1 |
Quadratic twists by: -4 8 -3 5 |