Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21996c |
Isogeny class |
Conductor |
21996 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
54902016 = 28 · 33 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 3 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6048,-181036] |
[a1,a2,a3,a4,a6] |
j |
3539609321472/7943 |
j-invariant |
L |
2.1654923749999 |
L(r)(E,1)/r! |
Ω |
0.54137309374997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984p1 21996a1 |
Quadratic twists by: -4 -3 |