Atkin-Lehner |
2- 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
13272f |
Isogeny class |
Conductor |
13272 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-30232028774126592 = -1 · 210 · 33 · 712 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6288,8365392] |
[a1,a2,a3,a4,a6] |
j |
26846785046588/29523465599733 |
j-invariant |
L |
3.4875003287562 |
L(r)(E,1)/r! |
Ω |
0.29062502739635 |
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 |
26544c3 106176e3 39816c3 92904p3 |
Quadratic twists by: -4 8 -3 -7 |