Atkin-Lehner |
2- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85652d |
Isogeny class |
Conductor |
85652 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-37526271879152 = -1 · 24 · 710 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 1 2 7- 4 -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14422,724093] |
[a1,a2,a3,a4,a6] |
j |
-176247139072/19935503 |
j-invariant |
L |
2.5260116676702 |
L(r)(E,1)/r! |
Ω |
0.63150291768973 |
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 |
12236g1 |
Quadratic twists by: -7 |