Atkin-Lehner |
7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013a |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-2601650051 = -1 · 72 · 11 · 136 |
Discriminant |
Eigenvalues |
0 1 -3 7+ 11- 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15097,708972] |
[a1,a2,a3,a4,a6] |
Generators |
[66:66:1] [108:591:1] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
5.4562540811003 |
L(r)(E,1)/r! |
Ω |
1.2887710760143 |
Real period |
R |
1.0584218917248 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117n1 91091l1 77b3 |
Quadratic twists by: -3 -7 13 |