Atkin-Lehner |
7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013b |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
77154077 = 73 · 113 · 132 |
Discriminant |
Eigenvalues |
0 -2 0 7+ 11- 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-173,-828] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:1:1] [-6:5:1] |
Generators of the group modulo torsion |
j |
3407872000/456533 |
j-invariant |
L |
4.0713436765147 |
L(r)(E,1)/r! |
Ω |
1.3274263642404 |
Real period |
R |
1.0223652289855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117k2 91091m2 13013h2 |
Quadratic twists by: -3 -7 13 |