Atkin-Lehner |
2+ 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64240c |
Isogeny class |
Conductor |
64240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-7503232000 = -1 · 210 · 53 · 11 · 732 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,264,-3740] |
[a1,a2,a3,a4,a6] |
j |
1979654684/7327375 |
j-invariant |
L |
1.3420417109256 |
L(r)(E,1)/r! |
Ω |
0.67102085523386 |
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 |
32120e1 |
Quadratic twists by: -4 |