Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800a |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-2440692000000000 = -1 · 211 · 39 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 1 -4 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-249075,47904750] |
[a1,a2,a3,a4,a6] |
Generators |
[1110:33750:1] |
Generators of the group modulo torsion |
j |
-2713144086/3875 |
j-invariant |
L |
6.7650705470078 |
L(r)(E,1)/r! |
Ω |
0.45777215693612 |
Real period |
R |
3.6945620460242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600f1 55800be1 11160j1 |
Quadratic twists by: -4 -3 5 |