Atkin-Lehner |
2- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950u |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1332832015625000000 = 26 · 512 · 112 · 893 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-458838,-106143469] |
[a1,a2,a3,a4,a6] |
Generators |
[-12885:63229:27] |
Generators of the group modulo torsion |
j |
683725660566893209/85301249000000 |
j-invariant |
L |
12.878635643336 |
L(r)(E,1)/r! |
Ω |
0.18493876275744 |
Real period |
R |
5.8031081258535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790c3 |
Quadratic twists by: 5 |