Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3640c |
Isogeny class |
Conductor |
3640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
52998400 = 28 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103,-198] |
[a1,a2,a3,a4,a6] |
j |
472058064/207025 |
j-invariant |
L |
1.5601946047955 |
L(r)(E,1)/r! |
Ω |
1.5601946047955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7280a2 29120bc2 32760bn2 18200m2 |
Quadratic twists by: -4 8 -3 5 |