Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13160c |
Isogeny class |
Conductor |
13160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1108387840 = -1 · 211 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,104,1584] |
[a1,a2,a3,a4,a6] |
Generators |
[7:52:1] |
Generators of the group modulo torsion |
j |
60160462/541205 |
j-invariant |
L |
3.4555730829165 |
L(r)(E,1)/r! |
Ω |
1.134338872518 |
Real period |
R |
3.0463322439492 |
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 |
26320a2 105280t2 118440cm2 65800g2 |
Quadratic twists by: -4 8 -3 5 |