Atkin-Lehner |
2+ 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
2424c |
Isogeny class |
Conductor |
2424 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-5584896 = -1 · 211 · 33 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8,-116] |
[a1,a2,a3,a4,a6] |
j |
24334/2727 |
j-invariant |
L |
1.1404420253179 |
L(r)(E,1)/r! |
Ω |
1.1404420253179 |
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 |
4848f1 19392o1 7272g1 60600bg1 |
Quadratic twists by: -4 8 -3 5 |