Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013r |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2601650051 = -1 · 72 · 11 · 136 |
Discriminant |
Eigenvalues |
0 -3 1 7- 11- 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,338,549] |
[a1,a2,a3,a4,a6] |
Generators |
[13:84:1] |
Generators of the group modulo torsion |
j |
884736/539 |
j-invariant |
L |
2.605187392208 |
L(r)(E,1)/r! |
Ω |
0.88745967457725 |
Real period |
R |
0.73388894922155 |
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 |
117117bi1 91091o1 77a1 |
Quadratic twists by: -3 -7 13 |