Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360j |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
421917440000 = 211 · 54 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14376,657940] |
[a1,a2,a3,a4,a6] |
Generators |
[36:434:1] |
Generators of the group modulo torsion |
j |
160449423671378/206014375 |
j-invariant |
L |
2.9038638748779 |
L(r)(E,1)/r! |
Ω |
0.9413426225206 |
Real period |
R |
0.51413513093003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680c2 69440dx2 86800j2 121520q2 |
Quadratic twists by: -4 8 5 -7 |