Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050t |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
-5.5025228222E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 5 -5 -7 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3416055,2680298447] |
[a1,a2,a3,a4,a6] |
Generators |
[163:46046:1] |
Generators of the group modulo torsion |
j |
-508660425/63488 |
j-invariant |
L |
9.3493509643898 |
L(r)(E,1)/r! |
Ω |
0.15927954117194 |
Real period |
R |
1.3340398121871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050k1 1550f1 |
Quadratic twists by: 5 -31 |