Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966bv |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-53582605908443136 = -1 · 220 · 311 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 1 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,93019,2166621] |
[a1,a2,a3,a4,a6] |
Generators |
[191:-5280:1] |
Generators of the group modulo torsion |
j |
145184269597247/87397761024 |
j-invariant |
L |
7.5966138279101 |
L(r)(E,1)/r! |
Ω |
0.21728844309274 |
Real period |
R |
0.43701207370711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999726538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322b1 105966s1 |
Quadratic twists by: -3 29 |