Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013q |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-8999983972879830931 = -1 · 73 · 114 · 1311 |
Discriminant |
Eigenvalues |
0 2 1 7- 11- 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2683945,1699460180] |
[a1,a2,a3,a4,a6] |
Generators |
[44040:1099585:27] |
Generators of the group modulo torsion |
j |
-442980486619070464/1864582578859 |
j-invariant |
L |
6.1132344210592 |
L(r)(E,1)/r! |
Ω |
0.23237290028144 |
Real period |
R |
0.54808047876703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117bh1 91091n1 1001a1 |
Quadratic twists by: -3 -7 13 |