Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976br |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-30801641472 = -1 · 214 · 33 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,783,783] |
[a1,a2,a3,a4,a6] |
j |
3236192048/1879983 |
j-invariant |
L |
4.2396423077097 |
L(r)(E,1)/r! |
Ω |
0.70660705128643 |
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 |
38976k1 9744a1 116928dn1 |
Quadratic twists by: -4 8 -3 |