Atkin-Lehner |
5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
88145c |
Isogeny class |
Conductor |
88145 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-4155480506845703125 = -1 · 510 · 178 · 61 |
Discriminant |
Eigenvalues |
-1 0 5- 0 3 3 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,252098,-85183974] |
[a1,a2,a3,a4,a6] |
j |
254004936399/595703125 |
j-invariant |
L |
1.2765122698587 |
L(r)(E,1)/r! |
Ω |
0.12765122630954 |
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 |
88145b1 |
Quadratic twists by: 17 |