Atkin-Lehner |
2+ 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794w |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
33308483748 = 22 · 3 · 196 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1091,10634] |
[a1,a2,a3,a4,a6] |
j |
3048625/708 |
j-invariant |
L |
2.194473944784 |
L(r)(E,1)/r! |
Ω |
1.0972375352733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
354a1 |
Quadratic twists by: -19 |