Atkin-Lehner |
7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13013p |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13026013 = -1 · 72 · 112 · 133 |
Discriminant |
Eigenvalues |
1 -2 -2 7- 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,48,119] |
[a1,a2,a3,a4,a6] |
Generators |
[1:12:1] |
Generators of the group modulo torsion |
j |
5735339/5929 |
j-invariant |
L |
2.6731970294674 |
L(r)(E,1)/r! |
Ω |
1.4816254420622 |
Real period |
R |
0.90211633574094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117117cb2 91091j2 13013g2 |
Quadratic twists by: -3 -7 13 |