Atkin-Lehner |
2+ 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350p |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-8549996276250 = -1 · 2 · 33 · 54 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-867,-140809] |
[a1,a2,a3,a4,a6] |
j |
-4273846875/506666446 |
j-invariant |
L |
1.9541201263376 |
L(r)(E,1)/r! |
Ω |
0.32568668839551 |
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 |
64350df1 64350cv1 |
Quadratic twists by: -3 5 |