Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bt |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
166154688 = 26 · 32 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-428,-3498] |
[a1,a2,a3,a4,a6] |
j |
135796744000/2596167 |
j-invariant |
L |
3.1519524230192 |
L(r)(E,1)/r! |
Ω |
1.0506508076706 |
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 |
38976ba1 19488a2 116928en1 |
Quadratic twists by: -4 8 -3 |