Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bo |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
7343287453372907520 = 221 · 33 · 5 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-956545,-335335295] |
[a1,a2,a3,a4,a6] |
Generators |
[-33002663:245395008:68921] |
Generators of the group modulo torsion |
j |
14235529/1080 |
j-invariant |
L |
6.9080451283063 |
L(r)(E,1)/r! |
Ω |
0.153391929226 |
Real period |
R |
11.25881448314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160iy1 3630u1 116160bt1 |
Quadratic twists by: -4 8 -11 |