Atkin-Lehner |
2+ 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168k |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
18786781955132352 = 26 · 318 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308824,65829418] |
[a1,a2,a3,a4,a6] |
j |
50895369988415092288/293543468048943 |
j-invariant |
L |
0.38882316789056 |
L(r)(E,1)/r! |
Ω |
0.38882317211538 |
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 |
63168bo1 31584z2 |
Quadratic twists by: -4 8 |