Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510da |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
14201222928076800 = 212 · 37 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380813,-90174283] |
[a1,a2,a3,a4,a6] |
j |
71210194441849/165580800 |
j-invariant |
L |
4.6131080166619 |
L(r)(E,1)/r! |
Ω |
0.19221283401809 |
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 |
16170bf1 6930bi1 |
Quadratic twists by: -3 -7 |