Atkin-Lehner |
2+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
24544a |
Isogeny class |
Conductor |
24544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22720 |
Modular degree for the optimal curve |
Δ |
-661745117696 = -1 · 29 · 135 · 592 |
Discriminant |
Eigenvalues |
2+ -1 1 1 2 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5520,164488] |
[a1,a2,a3,a4,a6] |
j |
-36337049331848/1292470933 |
j-invariant |
L |
1.8068362718318 |
L(r)(E,1)/r! |
Ω |
0.90341813591588 |
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 |
24544b1 49088g1 |
Quadratic twists by: -4 8 |