Atkin-Lehner |
2- 3- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690bl |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-3829100679757440000 = -1 · 210 · 36 · 54 · 172 · 734 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-375503,129351831] |
[a1,a2,a3,a4,a6] |
Generators |
[-723:5106:1] [-397:14886:1] |
Generators of the group modulo torsion |
j |
-8032215145836387241/5252538655360000 |
j-invariant |
L |
15.032295794718 |
L(r)(E,1)/r! |
Ω |
0.22933104518244 |
Real period |
R |
0.81935569323537 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999961754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12410i2 |
Quadratic twists by: -3 |