Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400bj |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
6696000 = 26 · 33 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1398,-20592] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1560:1] |
Generators of the group modulo torsion |
j |
37797742016/837 |
j-invariant |
L |
7.473848105504 |
L(r)(E,1)/r! |
Ω |
0.78072386340433 |
Real period |
R |
3.1909908459571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400u1 74400cb1 |
Quadratic twists by: -4 5 |