Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
54900j |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
62534531250000 = 24 · 38 · 510 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10200,111625] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:675:1] |
Generators of the group modulo torsion |
j |
643956736/343125 |
j-invariant |
L |
7.2117719135273 |
L(r)(E,1)/r! |
Ω |
0.54477025912828 |
Real period |
R |
1.1031824566823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18300g1 10980c1 |
Quadratic twists by: -3 5 |