Atkin-Lehner |
2- 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64240i |
Isogeny class |
Conductor |
64240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
-614664765440 = -1 · 221 · 5 · 11 · 732 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 11+ 4 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42883,-3418238] |
[a1,a2,a3,a4,a6] |
j |
-2129213662543449/150064640 |
j-invariant |
L |
0.66352368250876 |
L(r)(E,1)/r! |
Ω |
0.16588091893543 |
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 |
8030b1 |
Quadratic twists by: -4 |