Atkin-Lehner |
2+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3718c |
Isogeny class |
Conductor |
3718 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2566288848266 = 2 · 112 · 139 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22931,1340067] |
[a1,a2,a3,a4,a6] |
j |
125751501/242 |
j-invariant |
L |
0.81264505699677 |
L(r)(E,1)/r! |
Ω |
0.81264505699677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29744bi2 118976bs2 33462di2 92950ca2 |
Quadratic twists by: -4 8 -3 5 |