Atkin-Lehner |
2+ 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
121752u |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-2070528148224 = -1 · 28 · 314 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 3 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-831,69842] |
[a1,a2,a3,a4,a6] |
j |
-340062928/11094651 |
j-invariant |
L |
5.5154393409749 |
L(r)(E,1)/r! |
Ω |
0.68943006162305 |
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 |
40584t1 |
Quadratic twists by: -3 |