Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600cr |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-107136000000 = -1 · 213 · 33 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 3 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-15750] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1998:1] |
Generators of the group modulo torsion |
j |
-27/62 |
j-invariant |
L |
7.5204237185326 |
L(r)(E,1)/r! |
Ω |
0.4791588465252 |
Real period |
R |
3.9237633721641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950bs1 111600cs1 4464p1 |
Quadratic twists by: -4 -3 5 |