Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800ci |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-13179736800000000 = -1 · 211 · 312 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64875,8423750] |
[a1,a2,a3,a4,a6] |
Generators |
[338:19197:8] |
Generators of the group modulo torsion |
j |
-51777170/22599 |
j-invariant |
L |
6.3741866644725 |
L(r)(E,1)/r! |
Ω |
0.37281895232275 |
Real period |
R |
4.2743177518843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600by1 18600g1 55800v1 |
Quadratic twists by: -4 -3 5 |