Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9880j |
Isogeny class |
Conductor |
9880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27872 |
Modular degree for the optimal curve |
Δ |
-4824218750000 = -1 · 24 · 513 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 6 13- -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16931,848894] |
[a1,a2,a3,a4,a6] |
j |
-33548816887343104/301513671875 |
j-invariant |
L |
1.5480580655673 |
L(r)(E,1)/r! |
Ω |
0.77402903278366 |
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 |
19760d1 79040v1 88920s1 49400c1 |
Quadratic twists by: -4 8 -3 5 |