Atkin-Lehner |
2+ 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
103334g |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480480 |
Modular degree for the optimal curve |
Δ |
5695766803072192 = 26 · 77 · 116 · 61 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 11- 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48281,-1888091] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:511:1] |
Generators of the group modulo torsion |
j |
7026036894577/3215111872 |
j-invariant |
L |
2.8993868284648 |
L(r)(E,1)/r! |
Ω |
0.33637948736941 |
Real period |
R |
4.3096962390227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
854d1 |
Quadratic twists by: -11 |