Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350fi |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
573358500 = 22 · 36 · 53 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1445,-20743] |
[a1,a2,a3,a4,a6] |
j |
3659383421/6292 |
j-invariant |
L |
3.0978538099168 |
L(r)(E,1)/r! |
Ω |
0.77446345391907 |
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 |
7150l1 64350cl1 |
Quadratic twists by: -3 5 |