Atkin-Lehner |
7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
42581o |
Isogeny class |
Conductor |
42581 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-715658867 = -1 · 77 · 11 · 79 |
Discriminant |
Eigenvalues |
1 -1 0 7- 11- -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,220,-209] |
[a1,a2,a3,a4,a6] |
j |
9938375/6083 |
j-invariant |
L |
1.8594949465869 |
L(r)(E,1)/r! |
Ω |
0.9297474733862 |
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: -7 |