Atkin-Lehner |
2- 3- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83952m |
Isogeny class |
Conductor |
83952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-76596461568 = -1 · 214 · 36 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-13318] |
[a1,a2,a3,a4,a6] |
j |
-15625/25652 |
j-invariant |
L |
1.9680941637769 |
L(r)(E,1)/r! |
Ω |
0.49202354429516 |
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 |
10494f1 9328l1 |
Quadratic twists by: -4 -3 |