Atkin-Lehner |
2- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9200w |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-40227143750000 = -1 · 24 · 58 · 235 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 0 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1825,-306625] |
[a1,a2,a3,a4,a6] |
j |
-2688885504/160908575 |
j-invariant |
L |
5.1076912672508 |
L(r)(E,1)/r! |
Ω |
0.28376062595838 |
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 |
2300g1 36800cj1 82800ef1 1840h1 |
Quadratic twists by: -4 8 -3 5 |