Atkin-Lehner |
2+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
93800g |
Isogeny class |
Conductor |
93800 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
509760 |
Modular degree for the optimal curve |
Δ |
258812095539200 = 211 · 52 · 75 · 673 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 5 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45288,3643052] |
[a1,a2,a3,a4,a6] |
j |
200637804267170/5054923741 |
j-invariant |
L |
2.7569494720574 |
L(r)(E,1)/r! |
Ω |
0.55138988709684 |
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 |
93800be1 |
Quadratic twists by: 5 |