Atkin-Lehner |
2- 3- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126072r |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-8575978208256 = -1 · 210 · 314 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3309,120350] |
[a1,a2,a3,a4,a6] |
j |
5367678908/11488311 |
j-invariant |
L |
1.0179873261922 |
L(r)(E,1)/r! |
Ω |
0.50899339846125 |
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 |
42024b1 |
Quadratic twists by: -3 |