Atkin-Lehner |
2- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950t |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
1850921875000 = 23 · 59 · 113 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5938,161031] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-283:1] |
Generators of the group modulo torsion |
j |
1481933914201/118459000 |
j-invariant |
L |
7.4281327610343 |
L(r)(E,1)/r! |
Ω |
0.81529979163067 |
Real period |
R |
0.50616233012173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9790e1 |
Quadratic twists by: 5 |