Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20384u |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-45392319784448 = -1 · 29 · 79 · 133 |
Discriminant |
Eigenvalues |
2+ 3 -2 7- -3 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12691,638666] |
[a1,a2,a3,a4,a6] |
Generators |
[1470:8918:27] |
Generators of the group modulo torsion |
j |
-10941048/2197 |
j-invariant |
L |
7.7041808772259 |
L(r)(E,1)/r! |
Ω |
0.61236937348815 |
Real period |
R |
2.0968229336655 |
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 |
20384v1 40768df1 20384o1 |
Quadratic twists by: -4 8 -7 |