Atkin-Lehner |
2+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53482d |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1111790572755434 = -1 · 2 · 116 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 11- 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4394,-1601418] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2079:1] [2829:-547:27] |
Generators of the group modulo torsion |
j |
5295319407/627576794 |
j-invariant |
L |
7.3602209900592 |
L(r)(E,1)/r! |
Ω |
0.23186073732317 |
Real period |
R |
10.581381845887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
442a2 |
Quadratic twists by: -11 |