Atkin-Lehner |
2+ 11- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
92752d |
Isogeny class |
Conductor |
92752 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
-647290283444992 = -1 · 28 · 115 · 17 · 314 |
Discriminant |
Eigenvalues |
2+ 0 4 1 11- 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59588,5730940] |
[a1,a2,a3,a4,a6] |
j |
-91402941881723904/2528477669707 |
j-invariant |
L |
5.1057236591121 |
L(r)(E,1)/r! |
Ω |
0.51057237126616 |
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 |
46376b1 |
Quadratic twists by: -4 |