Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952ea |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1170525041344512 = -1 · 214 · 36 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -1 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31899,-2741942] |
[a1,a2,a3,a4,a6] |
j |
-208537/68 |
j-invariant |
L |
3.1626711226879 |
L(r)(E,1)/r! |
Ω |
0.17570390986208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994ca1 13328h1 119952fe1 |
Quadratic twists by: -4 -3 -7 |