Atkin-Lehner |
3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063k |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
1090636936389 = 33 · 710 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 1 7- 11- 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4052,-84598] |
[a1,a2,a3,a4,a6] |
j |
964467/143 |
j-invariant |
L |
1.208671782569 |
L(r)(E,1)/r! |
Ω |
0.60433589069087 |
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 |
63063f1 63063c1 |
Quadratic twists by: -3 -7 |