Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400b |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-2711880000000000 = -1 · 212 · 37 · 510 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -6 4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170833,27349537] |
[a1,a2,a3,a4,a6] |
Generators |
[888:23981:1] |
Generators of the group modulo torsion |
j |
-13784200000/67797 |
j-invariant |
L |
6.1672240860325 |
L(r)(E,1)/r! |
Ω |
0.45681353919891 |
Real period |
R |
6.7502641186542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400cs1 74400cw1 |
Quadratic twists by: -4 5 |