Atkin-Lehner |
2+ 3- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130bc |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
917504 |
Modular degree for the optimal curve |
Δ |
-6582766057138800 = -1 · 24 · 310 · 52 · 23 · 594 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33039,-4528355] |
[a1,a2,a3,a4,a6] |
j |
-5471221024697329/9029857417200 |
j-invariant |
L |
1.3402433864269 |
L(r)(E,1)/r! |
Ω |
0.16753066781097 |
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 |
40710o1 |
Quadratic twists by: -3 |