Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4128c |
Isogeny class |
Conductor |
4128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-2930946048 = -1 · 212 · 32 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 1 -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1565,-24501] |
[a1,a2,a3,a4,a6] |
j |
-103558145536/715563 |
j-invariant |
L |
1.517394731556 |
L(r)(E,1)/r! |
Ω |
0.37934868288901 |
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 |
4128l1 8256l1 12384m1 103200bv1 |
Quadratic twists by: -4 8 -3 5 |