Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7800o |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
58500000000 = 28 · 32 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121908,16423812] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:5250:1] |
Generators of the group modulo torsion |
j |
50091484483024/14625 |
j-invariant |
L |
3.5740805758407 |
L(r)(E,1)/r! |
Ω |
0.89275564815642 |
Real period |
R |
2.001712665286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15600r1 62400bz1 23400n1 1560c1 |
Quadratic twists by: -4 8 -3 5 |