Atkin-Lehner |
2- 3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614n |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-1057439260614097152 = -1 · 28 · 39 · 119 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -5 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,240243,-19737981] |
[a1,a2,a3,a4,a6] |
j |
865604918383127/596896895232 |
j-invariant |
L |
2.5020813315258 |
L(r)(E,1)/r! |
Ω |
0.15638008315573 |
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 |
5874c1 |
Quadratic twists by: -11 |