Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312o |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8913043062784 = 218 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17836,905520] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:1176:1] [21:735:1] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
8.3821008275609 |
L(r)(E,1)/r! |
Ω |
0.73382964666819 |
Real period |
R |
5.7112034554728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53312bt2 833a2 1088e2 |
Quadratic twists by: -4 8 -7 |