Atkin-Lehner |
2- 3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614m |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
20812298628 = 22 · 3 · 117 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7323,-244155] |
[a1,a2,a3,a4,a6] |
j |
24515367625/11748 |
j-invariant |
L |
4.1288534335343 |
L(r)(E,1)/r! |
Ω |
0.51610667754061 |
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 |
5874b1 |
Quadratic twists by: -11 |