Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39039j |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
286607804554071 = 33 · 7 · 11 · 1310 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1874467,-988571134] |
[a1,a2,a3,a4,a6] |
j |
150902699857302457/59378319 |
j-invariant |
L |
0.51610742287769 |
L(r)(E,1)/r! |
Ω |
0.12902685570808 |
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 |
117117p4 3003e3 |
Quadratic twists by: -3 13 |