Atkin-Lehner |
7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
66913a |
Isogeny class |
Conductor |
66913 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-10776405563 = -1 · 7 · 117 · 79 |
Discriminant |
Eigenvalues |
-1 1 0 7+ 11- -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,542,-1121] |
[a1,a2,a3,a4,a6] |
j |
9938375/6083 |
j-invariant |
L |
1.4833638109464 |
L(r)(E,1)/r! |
Ω |
0.74168190620288 |
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 |
6083g1 |
Quadratic twists by: -11 |