Atkin-Lehner |
2+ 3+ 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570c |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
5893767225000000 = 26 · 33 · 58 · 194 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-550719,-157124275] |
[a1,a2,a3,a4,a6] |
Generators |
[1526:49777:1] |
Generators of the group modulo torsion |
j |
684148803415347540843/218287675000000 |
j-invariant |
L |
6.127848065046 |
L(r)(E,1)/r! |
Ω |
0.17525697787339 |
Real period |
R |
2.1853081594865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570z1 |
Quadratic twists by: -3 |