Atkin-Lehner |
7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27209q |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-121324931 = -1 · 74 · 133 · 23 |
Discriminant |
Eigenvalues |
0 -3 1 7- -1 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-52,549] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-46:1] [34:157:8] |
Generators of the group modulo torsion |
j |
-7077888/55223 |
j-invariant |
L |
4.915644110134 |
L(r)(E,1)/r! |
Ω |
1.5968396624616 |
Real period |
R |
0.38479474690624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27209k1 |
Quadratic twists by: 13 |