Atkin-Lehner |
2+ 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960n |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
111283200 |
Modular degree for the optimal curve |
Δ |
-2.864545445445E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 0 5 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1139368545,-29701685749023] |
[a1,a2,a3,a4,a6] |
j |
-623988329611290511411835929/1092737367799773234462720 |
j-invariant |
L |
3.9748426271441 |
L(r)(E,1)/r! |
Ω |
0.012268033103666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960dt1 3030h1 |
Quadratic twists by: -4 8 |