Atkin-Lehner |
2- 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68112cf |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
58885303889808 = 24 · 312 · 115 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 5 11- 4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-521409,144915383] |
[a1,a2,a3,a4,a6] |
j |
1344038690471072512/5048465697 |
j-invariant |
L |
5.4855944514063 |
L(r)(E,1)/r! |
Ω |
0.54855944576274 |
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 |
17028j1 22704u1 |
Quadratic twists by: -4 -3 |