Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580p |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-8987173029437680 = -1 · 24 · 5 · 78 · 117 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41503,-3195731] |
[a1,a2,a3,a4,a6] |
j |
48384/55 |
j-invariant |
L |
3.5451212338677 |
L(r)(E,1)/r! |
Ω |
0.22157011834108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118580f1 10780j1 |
Quadratic twists by: -7 -11 |