Atkin-Lehner |
2- 5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050cg |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-28941277523200 = -1 · 28 · 52 · 77 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -2 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64838,6354532] |
[a1,a2,a3,a4,a6] |
Generators |
[136:170:1] [-204:3434:1] |
Generators of the group modulo torsion |
j |
-1205793538713855625/1157651100928 |
j-invariant |
L |
13.09778549321 |
L(r)(E,1)/r! |
Ω |
0.65978965300487 |
Real period |
R |
0.17724514594855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bc1 |
Quadratic twists by: 5 |