Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57112f |
Isogeny class |
Conductor |
57112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-26757657344 = -1 · 28 · 116 · 59 |
Discriminant |
Eigenvalues |
2- -1 -1 -1 11- -2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33436,2364452] |
[a1,a2,a3,a4,a6] |
Generators |
[16:1354:1] [92:242:1] |
Generators of the group modulo torsion |
j |
-9115564624/59 |
j-invariant |
L |
7.4531255612535 |
L(r)(E,1)/r! |
Ω |
1.0595169218387 |
Real period |
R |
0.8793070464038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114224b1 472b1 |
Quadratic twists by: -4 -11 |