Atkin-Lehner |
2- 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
7968d |
Isogeny class |
Conductor |
7968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-743510016 = -1 · 212 · 37 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 5 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-657,-6399] |
[a1,a2,a3,a4,a6] |
j |
-7668682048/181521 |
j-invariant |
L |
1.8831086534669 |
L(r)(E,1)/r! |
Ω |
0.47077716336673 |
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 |
7968i1 15936y1 23904l1 |
Quadratic twists by: -4 8 -3 |