Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4048b |
Isogeny class |
Conductor |
4048 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
144997935104 = 211 · 11 · 235 |
Discriminant |
Eigenvalues |
2+ -2 -3 -3 11- -5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1352,-5996] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:92:1] |
Generators of the group modulo torsion |
j |
133550346386/70799773 |
j-invariant |
L |
1.5973717697954 |
L(r)(E,1)/r! |
Ω |
0.83595208443113 |
Real period |
R |
0.095542065122217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2024b1 16192v1 36432h1 101200f1 |
Quadratic twists by: -4 8 -3 5 |