Atkin-Lehner |
2+ 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178d |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-2767504901129895936 = -1 · 225 · 3 · 177 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 0 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3914077,2979965053] |
[a1,a2,a3,a4,a6] |
j |
-274737822946654969/114655494144 |
j-invariant |
L |
1.0037478098272 |
L(r)(E,1)/r! |
Ω |
0.25093692507967 |
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 |
6834e1 |
Quadratic twists by: 17 |