Atkin-Lehner |
3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
79497m |
Isogeny class |
Conductor |
79497 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-342677939769 = -1 · 312 · 112 · 732 |
Discriminant |
Eigenvalues |
-1 3- -1 2 11- 1 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1013,-30522] |
[a1,a2,a3,a4,a6] |
j |
-1302078481/3884841 |
j-invariant |
L |
1.5649792929037 |
L(r)(E,1)/r! |
Ω |
0.39124481208637 |
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 |
26499c1 79497h1 |
Quadratic twists by: -3 -11 |