Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bl |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-334800000000 = -1 · 210 · 33 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -6 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1125,23750] |
[a1,a2,a3,a4,a6] |
Generators |
[19:228:1] |
Generators of the group modulo torsion |
j |
14580/31 |
j-invariant |
L |
6.4589180806798 |
L(r)(E,1)/r! |
Ω |
0.66670970847154 |
Real period |
R |
2.421937913412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600q1 55800h1 55800c1 |
Quadratic twists by: -4 -3 5 |