Atkin-Lehner |
2- 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
14382k |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-5703556032 = -1 · 26 · 38 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-329,-4215] |
[a1,a2,a3,a4,a6] |
Generators |
[35:144:1] |
Generators of the group modulo torsion |
j |
-5386984777/7823808 |
j-invariant |
L |
8.1539376962023 |
L(r)(E,1)/r! |
Ω |
0.53277926455406 |
Real period |
R |
1.2753777281209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056bb1 4794a1 |
Quadratic twists by: -4 -3 |