Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818t |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-351145558512 = -1 · 24 · 34 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1763,1763] |
[a1,a2,a3,a4,a6] |
j |
5150827583/2984688 |
j-invariant |
L |
4.5994788553931 |
L(r)(E,1)/r! |
Ω |
0.57493485692414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544do1 41454r1 1974h1 |
Quadratic twists by: -4 -3 -7 |