Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400bn |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-89280000 = -1 · 29 · 32 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-808,8588] |
[a1,a2,a3,a4,a6] |
j |
-182534600/279 |
j-invariant |
L |
3.8165403258467 |
L(r)(E,1)/r! |
Ω |
1.9082701758092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400r1 74400bw1 |
Quadratic twists by: -4 5 |