Atkin-Lehner |
3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63075i |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-6468703615875 = -1 · 3 · 53 · 297 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 3 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-587298,-173039527] |
[a1,a2,a3,a4,a6] |
j |
-301302001664/87 |
j-invariant |
L |
3.1042547986011 |
L(r)(E,1)/r! |
Ω |
0.086229299768696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63075u1 2175j1 |
Quadratic twists by: 5 29 |