Atkin-Lehner |
2+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68200g |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1332031250000 = 24 · 512 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3883,-73488] |
[a1,a2,a3,a4,a6] |
j |
25905842176/5328125 |
j-invariant |
L |
4.9082296387397 |
L(r)(E,1)/r! |
Ω |
0.6135287039623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640i1 |
Quadratic twists by: 5 |