Atkin-Lehner |
2- 3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680bs |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
54688296960 = 212 · 38 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-173680,27917440] |
[a1,a2,a3,a4,a6] |
j |
141454150870471921/13351635 |
j-invariant |
L |
3.4367316370282 |
L(r)(E,1)/r! |
Ω |
0.85918288263286 |
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 |
6105l3 |
Quadratic twists by: -4 |