Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79764f |
Isogeny class |
Conductor |
79764 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
7701236214864 = 24 · 3 · 178 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5009,29874] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:289:1] |
Generators of the group modulo torsion |
j |
35995648/19941 |
j-invariant |
L |
2.0562021781912 |
L(r)(E,1)/r! |
Ω |
0.64249372755598 |
Real period |
R |
1.0667819739855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4692d1 |
Quadratic twists by: 17 |