Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
97600bw |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-78080000000000 = -1 · 217 · 510 · 61 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60833,5770463] |
[a1,a2,a3,a4,a6] |
j |
-19450850/61 |
j-invariant |
L |
1.2262409238241 |
L(r)(E,1)/r! |
Ω |
0.61312039344969 |
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 |
97600f1 24400e1 97600ck1 |
Quadratic twists by: -4 8 5 |