Atkin-Lehner |
2- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9200v |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
57500000000 = 28 · 510 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 3 -5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2708,-53912] |
[a1,a2,a3,a4,a6] |
j |
878800/23 |
j-invariant |
L |
0.66285356586157 |
L(r)(E,1)/r! |
Ω |
0.66285356586157 |
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 |
2300f1 36800ce1 82800ea1 9200bi1 |
Quadratic twists by: -4 8 -3 5 |