Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1386d |
Isogeny class |
Conductor |
1386 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-15947046481212 = -1 · 22 · 38 · 73 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7407,313497] |
[a1,a2,a3,a4,a6] |
j |
-61653281712625/21875235228 |
j-invariant |
L |
1.3137168390085 |
L(r)(E,1)/r! |
Ω |
0.65685841950427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
11088bf3 44352bt3 462g3 34650cx3 |
Quadratic twists by: -4 8 -3 5 |