Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664bi |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6717604064126828544 = 228 · 312 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-560449,-102801889] |
[a1,a2,a3,a4,a6] |
j |
74266483535212753/25625625854976 |
j-invariant |
L |
2.1527826283808 |
L(r)(E,1)/r! |
Ω |
0.17939855235498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41664db2 1302j2 124992bi2 |
Quadratic twists by: -4 8 -3 |