Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800cs |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
67106390540288000 = 220 · 53 · 116 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11+ 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31564288,68245679028] |
[a1,a2,a3,a4,a6] |
Generators |
[3242:128:1] |
Generators of the group modulo torsion |
j |
6792689403969707938517/131067169024 |
j-invariant |
L |
3.597865058677 |
L(r)(E,1)/r! |
Ω |
0.25009800244473 |
Real period |
R |
1.7982276070618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9350bk2 74800cv2 |
Quadratic twists by: -4 5 |