Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960bb |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
4235433883506000 = 24 · 32 · 53 · 712 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51515,-3215400] |
[a1,a2,a3,a4,a6] |
j |
8032024643584/2250037125 |
j-invariant |
L |
3.8833430764078 |
L(r)(E,1)/r! |
Ω |
0.32361190863631 |
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 |
14280s1 |
Quadratic twists by: -7 |