Atkin-Lehner |
2+ 3+ 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990b |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-355490726400 = -1 · 29 · 39 · 52 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2985,-68275] |
[a1,a2,a3,a4,a6] |
j |
-149467669443/18060800 |
j-invariant |
L |
1.2830838964473 |
L(r)(E,1)/r! |
Ω |
0.32077050718812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990bn1 |
Quadratic twists by: -3 |