Atkin-Lehner |
3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39039q |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-123513265926673623 = -1 · 32 · 76 · 11 · 139 |
Discriminant |
Eigenvalues |
1 3+ -4 7- 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,81793,14346480] |
[a1,a2,a3,a4,a6] |
j |
5706550403/11647251 |
j-invariant |
L |
1.3716233342029 |
L(r)(E,1)/r! |
Ω |
0.22860388903416 |
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 |
117117bn2 39039e2 |
Quadratic twists by: -3 13 |