Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bi |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
624512934112679568 = 24 · 39 · 119 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11+ 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1390313,630182809] |
[a1,a2,a3,a4,a6] |
j |
6403769793/13456 |
j-invariant |
L |
9.2569667296756 |
L(r)(E,1)/r! |
Ω |
0.28928021043903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162f1 63162e1 |
Quadratic twists by: -3 -11 |