Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608a |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2642281474111488 = -1 · 211 · 39 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30645,1361178] |
[a1,a2,a3,a4,a6] |
j |
78955310250/65547757 |
j-invariant |
L |
2.3570381659972 |
L(r)(E,1)/r! |
Ω |
0.29462977075537 |
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 |
29304g2 58608b2 |
Quadratic twists by: -4 -3 |