Atkin-Lehner |
5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
111925g |
Isogeny class |
Conductor |
111925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1545984 |
Modular degree for the optimal curve |
Δ |
-22926352194453125 = -1 · 57 · 118 · 372 |
Discriminant |
Eigenvalues |
1 -1 5+ 1 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3534775,-2559426250] |
[a1,a2,a3,a4,a6] |
j |
-1458302838289/6845 |
j-invariant |
L |
2.6425319340802 |
L(r)(E,1)/r! |
Ω |
0.055052744834743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22385g1 111925i1 |
Quadratic twists by: 5 -11 |