Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952bu |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
13162922164224 = 214 · 39 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 2 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117747,-15550542] |
[a1,a2,a3,a4,a6] |
j |
932673987/68 |
j-invariant |
L |
3.0927522433172 |
L(r)(E,1)/r! |
Ω |
0.25772941731576 |
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 |
14994b1 119952cd1 119952da1 |
Quadratic twists by: -4 -3 -7 |