Atkin-Lehner |
2+ 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178p |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
762757221628704 = 25 · 3 · 179 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 -1 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39455,-2711278] |
[a1,a2,a3,a4,a6] |
Generators |
[17580:416171:27] |
Generators of the group modulo torsion |
j |
281397674377/31600416 |
j-invariant |
L |
5.2918247680325 |
L(r)(E,1)/r! |
Ω |
0.34122049037414 |
Real period |
R |
3.8771299542826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834a1 |
Quadratic twists by: 17 |