Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
4848b |
Isogeny class |
Conductor |
4848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-18990508032 = -1 · 211 · 32 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 4 -3 2 -2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1216,-18028] |
[a1,a2,a3,a4,a6] |
j |
-97174336898/9272709 |
j-invariant |
L |
3.2162348352172 |
L(r)(E,1)/r! |
Ω |
0.40202935440215 |
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 |
2424f1 19392bf1 14544i1 121200b1 |
Quadratic twists by: -4 8 -3 5 |