Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
59048m |
Isogeny class |
Conductor |
59048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-55786660864 = -1 · 210 · 114 · 612 |
Discriminant |
Eigenvalues |
2- 2 3 -4 11- 3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2944,63516] |
[a1,a2,a3,a4,a6] |
Generators |
[30:36:1] |
Generators of the group modulo torsion |
j |
-188284228/3721 |
j-invariant |
L |
9.8146544818475 |
L(r)(E,1)/r! |
Ω |
1.1174893704 |
Real period |
R |
2.1956930288604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118096g1 59048h1 |
Quadratic twists by: -4 -11 |