Atkin-Lehner |
7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27391f |
Isogeny class |
Conductor |
27391 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
68992 |
Modular degree for the optimal curve |
Δ |
-1212039186926113 = -1 · 73 · 13 · 437 |
Discriminant |
Eigenvalues |
1 0 0 7- -3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26143,-404846] |
[a1,a2,a3,a4,a6] |
Generators |
[30:622:1] [4710:115981:8] |
Generators of the group modulo torsion |
j |
5760849324434625/3533641944391 |
j-invariant |
L |
9.2767227019613 |
L(r)(E,1)/r! |
Ω |
0.28121984612157 |
Real period |
R |
2.3562456891954 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27391b2 |
Quadratic twists by: -7 |