Atkin-Lehner |
2- 3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109956x |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
762048 |
Modular degree for the optimal curve |
Δ |
6639071718875904 = 28 · 37 · 78 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125652,-16731324] |
[a1,a2,a3,a4,a6] |
Generators |
[-1734:-4851:8] [-228:342:1] |
Generators of the group modulo torsion |
j |
148665809488/4498659 |
j-invariant |
L |
11.366907295192 |
L(r)(E,1)/r! |
Ω |
0.25404519193824 |
Real period |
R |
0.35510827533165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956j1 |
Quadratic twists by: -7 |