Atkin-Lehner |
2- 3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178q |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-7722916868990628 = -1 · 22 · 35 · 179 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -3 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31218,-4744221] |
[a1,a2,a3,a4,a6] |
j |
-28372625/65124 |
j-invariant |
L |
0.67138866593704 |
L(r)(E,1)/r! |
Ω |
0.16784748737948 |
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 |
116178bd1 |
Quadratic twists by: 17 |