Atkin-Lehner |
2- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680q |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-268400 = -1 · 24 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11+ 2 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14,11] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
17643776/16775 |
j-invariant |
L |
3.0019371320466 |
L(r)(E,1)/r! |
Ω |
2.032345427031 |
Real period |
R |
0.73854008578169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13420d1 |
Quadratic twists by: -4 |