Atkin-Lehner |
3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247g |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7423675357527009 = 310 · 72 · 376 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49541,922556] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:2302:1] [-123:2329:1] |
Generators of the group modulo torsion |
j |
7189057/3969 |
j-invariant |
L |
5.4630871866339 |
L(r)(E,1)/r! |
Ω |
0.36276624604038 |
Real period |
R |
7.5297622731164 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997145 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28749e2 63a2 |
Quadratic twists by: -3 37 |