Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
111392d |
Isogeny class |
Conductor |
111392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-159273695028416 = -1 · 26 · 597 |
Discriminant |
Eigenvalues |
2+ -1 -3 -5 0 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8122,-666676] |
[a1,a2,a3,a4,a6] |
Generators |
[127:578:1] [374:6962:1] |
Generators of the group modulo torsion |
j |
-21952/59 |
j-invariant |
L |
5.9763159763147 |
L(r)(E,1)/r! |
Ω |
0.23351555696999 |
Real period |
R |
3.1990994798488 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111392c1 1888a1 |
Quadratic twists by: -4 -59 |