Atkin-Lehner |
2+ 3- 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354p |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-98477938944 = -1 · 28 · 36 · 72 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11- -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1968,-36352] |
[a1,a2,a3,a4,a6] |
j |
-1156633033473/135086336 |
j-invariant |
L |
2.8484095006096 |
L(r)(E,1)/r! |
Ω |
0.35605121103548 |
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 |
13706i1 |
Quadratic twists by: -3 |