Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800d |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
5356800 = 28 · 33 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -3 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2:1] [-4:6:1] |
Generators of the group modulo torsion |
j |
138240/31 |
j-invariant |
L |
9.6484751101901 |
L(r)(E,1)/r! |
Ω |
1.7429068568097 |
Real period |
R |
0.69198155028255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600a1 55800bh1 55800bm1 |
Quadratic twists by: -4 -3 5 |