Atkin-Lehner |
2- 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
13286l |
Isogeny class |
Conductor |
13286 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
423819228196 = 22 · 76 · 132 · 732 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3084,58763] |
[a1,a2,a3,a4,a6] |
Generators |
[329:5715:1] |
Generators of the group modulo torsion |
j |
3242909232320913/423819228196 |
j-invariant |
L |
7.8637190609662 |
L(r)(E,1)/r! |
Ω |
0.90874973237005 |
Real period |
R |
2.8844461721628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106288g2 119574m2 93002u2 |
Quadratic twists by: -4 -3 -7 |