Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304k |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-880760491370496 = -1 · 211 · 38 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2229,-1427290] |
[a1,a2,a3,a4,a6] |
j |
820344814/589929813 |
j-invariant |
L |
1.8639488771608 |
L(r)(E,1)/r! |
Ω |
0.23299360964511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58608p2 9768f2 |
Quadratic twists by: -4 -3 |