Atkin-Lehner |
7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013i |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
303177981698845253 = 7 · 11 · 1314 |
Discriminant |
Eigenvalues |
1 0 2 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-169961,5097444] |
[a1,a2,a3,a4,a6] |
j |
112489728522417/62811265517 |
j-invariant |
L |
2.3884693737984 |
L(r)(E,1)/r! |
Ω |
0.26538548597761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117117bt3 91091b3 1001b4 |
Quadratic twists by: -3 -7 13 |