Atkin-Lehner |
7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27391c |
Isogeny class |
Conductor |
27391 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12720 |
Modular degree for the optimal curve |
Δ |
-782314351 = -1 · 72 · 135 · 43 |
Discriminant |
Eigenvalues |
1 -2 -3 7- -2 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-495,-4483] |
[a1,a2,a3,a4,a6] |
Generators |
[29:61:1] |
Generators of the group modulo torsion |
j |
-272948938297/15965599 |
j-invariant |
L |
1.8863269462824 |
L(r)(E,1)/r! |
Ω |
0.50449016851771 |
Real period |
R |
3.7390757322879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27391a1 |
Quadratic twists by: -7 |