Atkin-Lehner |
2+ 5+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550r |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-771233044501562500 = -1 · 22 · 58 · 112 · 132 · 176 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101792,44088116] |
[a1,a2,a3,a4,a6] |
Generators |
[-392:5058:1] [-386:5268:1] |
Generators of the group modulo torsion |
j |
-7465295932151121/49358914848100 |
j-invariant |
L |
8.4314816697922 |
L(r)(E,1)/r! |
Ω |
0.24437238338417 |
Real period |
R |
0.71880408749658 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24310bc2 |
Quadratic twists by: 5 |