Atkin-Lehner |
2+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
111800j |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-47235500000000 = -1 · 28 · 59 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 0 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1375,331250] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:15632:27] |
Generators of the group modulo torsion |
j |
-574992/94471 |
j-invariant |
L |
14.368704313517 |
L(r)(E,1)/r! |
Ω |
0.52074050776535 |
Real period |
R |
6.8982074684874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111800q1 |
Quadratic twists by: 5 |