Atkin-Lehner |
2+ 3- 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990j |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29637120 |
Modular degree for the optimal curve |
Δ |
-4566080885760 = -1 · 210 · 37 · 5 · 173 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3449098125,-77965350467355] |
[a1,a2,a3,a4,a6] |
j |
-6224619857216584404463485570001/6263485440 |
j-invariant |
L |
1.9700324377705 |
L(r)(E,1)/r! |
Ω |
0.0098501574266565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330bk1 |
Quadratic twists by: -3 |