Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960bo |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-979384089600 = -1 · 210 · 38 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7520,-258000] |
[a1,a2,a3,a4,a6] |
j |
-133918602268/2788425 |
j-invariant |
L |
4.0963277345109 |
L(r)(E,1)/r! |
Ω |
0.25602049428359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960i1 |
Quadratic twists by: -7 |