Atkin-Lehner |
3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247f |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.3614618157345E+19 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1028547,-96189170] |
[a1,a2,a3,a4,a6] |
Generators |
[842:36542:1] [45140:1980695:64] |
Generators of the group modulo torsion |
j |
64336588343/39357381 |
j-invariant |
L |
10.561460343719 |
L(r)(E,1)/r! |
Ω |
0.11239337775896 |
Real period |
R |
23.492176662227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28749a3 2331b4 |
Quadratic twists by: -3 37 |