Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280cb |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2498794641360 = 24 · 39 · 5 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8562,295301] |
[a1,a2,a3,a4,a6] |
Generators |
[9830:41139:125] |
Generators of the group modulo torsion |
j |
5951163357184/214231365 |
j-invariant |
L |
9.8044577091613 |
L(r)(E,1)/r! |
Ω |
0.80785418970549 |
Real period |
R |
6.0682099761795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002675 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38760a1 |
Quadratic twists by: -3 |