Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400bx |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-25947000000 = -1 · 26 · 33 · 56 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,642,-4788] |
[a1,a2,a3,a4,a6] |
Generators |
[503:11284:1] |
Generators of the group modulo torsion |
j |
29218112/25947 |
j-invariant |
L |
5.9234672927387 |
L(r)(E,1)/r! |
Ω |
0.65425778660349 |
Real period |
R |
4.5268603706334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400ba1 2976c1 |
Quadratic twists by: -4 5 |