Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624o |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
7880717081189933136 = 24 · 36 · 1312 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 6 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1314707,-564717750] |
[a1,a2,a3,a4,a6] |
j |
3254099827320832/102043569069 |
j-invariant |
L |
6.7805891420245 |
L(r)(E,1)/r! |
Ω |
0.14126225460878 |
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 |
9048n1 |
Quadratic twists by: 13 |