Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138w |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-7.0692946369045E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,101125718,102151499492] |
[a1,a2,a3,a4,a6] |
Generators |
[806:428762:1] |
Generators of the group modulo torsion |
j |
4738217997934888496063/2928751705237796928 |
j-invariant |
L |
8.7524438962465 |
L(r)(E,1)/r! |
Ω |
0.038052010781996 |
Real period |
R |
4.7919302403351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97104cb3 36414t3 84966da3 714g4 |
Quadratic twists by: -4 -3 -7 17 |