Atkin-Lehner |
7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27391g |
Isogeny class |
Conductor |
27391 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-32403553 = -1 · 73 · 133 · 43 |
Discriminant |
Eigenvalues |
-1 -2 -2 7- -1 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,41,258] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-51:1] [6:24:1] |
Generators of the group modulo torsion |
j |
22188041/94471 |
j-invariant |
L |
3.3097917330818 |
L(r)(E,1)/r! |
Ω |
1.4856462563469 |
Real period |
R |
0.37130774109696 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27391d1 |
Quadratic twists by: -7 |