Atkin-Lehner |
3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063q |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-945315129089331 = -1 · 36 · 78 · 113 · 132 |
Discriminant |
Eigenvalues |
2 3- -3 7- 11+ 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-87759,10115327] |
[a1,a2,a3,a4,a6] |
j |
-871531204608/11022011 |
j-invariant |
L |
1.9917074512642 |
L(r)(E,1)/r! |
Ω |
0.49792686187475 |
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 |
7007d1 9009e1 |
Quadratic twists by: -3 -7 |