Atkin-Lehner |
2- 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810di |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
28105372102500 = 22 · 38 · 54 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12038,-436719] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:237:1] |
Generators of the group modulo torsion |
j |
264621653112601/38553322500 |
j-invariant |
L |
9.2592652333381 |
L(r)(E,1)/r! |
Ω |
0.46022331187424 |
Real period |
R |
2.5148838041045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000746 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270m2 |
Quadratic twists by: -3 |