Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960ci |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1742400 |
Modular degree for the optimal curve |
Δ |
-8191412436075120 = -1 · 24 · 311 · 5 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4678536,3896612721] |
[a1,a2,a3,a4,a6] |
j |
-6016521998966814976/4351616055 |
j-invariant |
L |
2.0631857949828 |
L(r)(E,1)/r! |
Ω |
0.34386429286678 |
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 |
2040p1 |
Quadratic twists by: -7 |