Atkin-Lehner |
5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
111925j |
Isogeny class |
Conductor |
111925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-18025633175 = -1 · 52 · 117 · 37 |
Discriminant |
Eigenvalues |
-1 -1 5+ 2 11- -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63,6436] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:68:1] [-4:83:1] |
Generators of the group modulo torsion |
j |
-625/407 |
j-invariant |
L |
6.2042066724331 |
L(r)(E,1)/r! |
Ω |
0.99288983256708 |
Real period |
R |
1.5621588797456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111925x1 10175a1 |
Quadratic twists by: 5 -11 |