Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7176o |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
37900302336 = 211 · 32 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-789589632,8539587332640] |
[a1,a2,a3,a4,a6] |
j |
26582637653663608426521740546/18506007 |
j-invariant |
L |
3.5331733161168 |
L(r)(E,1)/r! |
Ω |
0.2208233322573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14352i3 57408h4 21528h4 93288o4 |
Quadratic twists by: -4 8 -3 13 |