Atkin-Lehner |
2+ 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
24648a |
Isogeny class |
Conductor |
24648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
502921384544592 = 24 · 318 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -2 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20483,-323376] |
[a1,a2,a3,a4,a6] |
j |
59402623648000000/31432586534037 |
j-invariant |
L |
0.84722570447607 |
L(r)(E,1)/r! |
Ω |
0.42361285223809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49296i1 73944q1 |
Quadratic twists by: -4 -3 |