Atkin-Lehner |
2- 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92720w |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-189890560 = -1 · 215 · 5 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 5 2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,144,-64] |
[a1,a2,a3,a4,a6] |
j |
80062991/46360 |
j-invariant |
L |
4.2704059752917 |
L(r)(E,1)/r! |
Ω |
1.0676014798306 |
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 |
11590i1 |
Quadratic twists by: -4 |