Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265v |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
897091916985 = 33 · 5 · 118 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11- -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10106,387531] |
[a1,a2,a3,a4,a6] |
Generators |
[43:160:1] [63:12:1] |
Generators of the group modulo torsion |
j |
64432972729/506385 |
j-invariant |
L |
7.5949523024441 |
L(r)(E,1)/r! |
Ω |
0.89072367215415 |
Real period |
R |
2.8422403564949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115g1 |
Quadratic twists by: -11 |