Atkin-Lehner |
3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
13431f |
Isogeny class |
Conductor |
13431 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
468334069874253 = 310 · 118 · 37 |
Discriminant |
Eigenvalues |
1 3- 0 4 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30616,-1782211] |
[a1,a2,a3,a4,a6] |
j |
1791399948625/264362373 |
j-invariant |
L |
3.644848850857 |
L(r)(E,1)/r! |
Ω |
0.3644848850857 |
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 |
40293m2 1221b2 |
Quadratic twists by: -3 -11 |