Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48050a |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3645600 |
Modular degree for the optimal curve |
Δ |
2.183401055849E+20 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 -3 -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1722292,501873616] |
[a1,a2,a3,a4,a6] |
Generators |
[21128:3054588:1] |
Generators of the group modulo torsion |
j |
42396561/16384 |
j-invariant |
L |
2.439420040681 |
L(r)(E,1)/r! |
Ω |
0.1614936795034 |
Real period |
R |
7.5526796100598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1922c1 48050f1 |
Quadratic twists by: 5 -31 |