Atkin-Lehner |
7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013f |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
266102837 = 7 · 113 · 134 |
Discriminant |
Eigenvalues |
-2 0 0 7+ 11- 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-845,-9422] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:5:1] [-16:1:1] |
Generators of the group modulo torsion |
j |
2336256000/9317 |
j-invariant |
L |
3.4702284089556 |
L(r)(E,1)/r! |
Ω |
0.88570594324172 |
Real period |
R |
1.3060122400798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117t1 91091s1 13013l1 |
Quadratic twists by: -3 -7 13 |