Atkin-Lehner |
2- 3- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
68724d |
Isogeny class |
Conductor |
68724 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
28857482496 = 28 · 310 · 23 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 4 2 -4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1128,-12076] |
[a1,a2,a3,a4,a6] |
j |
850518016/154629 |
j-invariant |
L |
3.3364477978285 |
L(r)(E,1)/r! |
Ω |
0.83411195250237 |
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 |
22908b1 |
Quadratic twists by: -3 |