Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bg |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-1680598924625124720 = -1 · 24 · 311 · 5 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -5 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27593816,-55782045255] |
[a1,a2,a3,a4,a6] |
j |
-6016521998966814976/4351616055 |
j-invariant |
L |
0.1317427088892 |
L(r)(E,1)/r! |
Ω |
0.032935677224742 |
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 |
69360bd1 104040bi1 2040p1 |
Quadratic twists by: -4 -3 17 |