Atkin-Lehner |
2+ 13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33592c |
Isogeny class |
Conductor |
33592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
179485549568 = 210 · 134 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 0 2 0 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1595,-13626] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:104:1] |
Generators of the group modulo torsion |
j |
438233746500/175278857 |
j-invariant |
L |
5.5957186519316 |
L(r)(E,1)/r! |
Ω |
0.78203660571462 |
Real period |
R |
1.7888288767563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67184h1 |
Quadratic twists by: -4 |