Atkin-Lehner |
3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575bb |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-81593325 = -1 · 36 · 52 · 112 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- 0 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87,-514] |
[a1,a2,a3,a4,a6] |
Generators |
[238:3544:1] |
Generators of the group modulo torsion |
j |
-4021785/4477 |
j-invariant |
L |
9.5774244608348 |
L(r)(E,1)/r! |
Ω |
0.74859035074938 |
Real period |
R |
3.19848648168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10175b1 91575cd1 |
Quadratic twists by: -3 5 |