Atkin-Lehner |
2- 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
4848i |
Isogeny class |
Conductor |
4848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-154411204608 = -1 · 221 · 36 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -4 5 2 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1920,-36864] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/37698048 |
j-invariant |
L |
1.4272178025914 |
L(r)(E,1)/r! |
Ω |
0.35680445064786 |
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 |
606e1 19392bp1 14544bb1 121200dd1 |
Quadratic twists by: -4 8 -3 5 |