Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3718k |
Isogeny class |
Conductor |
3718 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1197575236 = -1 · 22 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ -2 -3 -2 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,230,-960] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] [15:69:1] |
Generators of the group modulo torsion |
j |
8011835663/7086244 |
j-invariant |
L |
2.2073501673741 |
L(r)(E,1)/r! |
Ω |
0.84571888345409 |
Real period |
R |
0.21750235318153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29744r2 118976m2 33462cm2 92950ch2 |
Quadratic twists by: -4 8 -3 5 |