Atkin-Lehner |
2+ 41+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47888a |
Isogeny class |
Conductor |
47888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
255195152 = 24 · 41 · 733 |
Discriminant |
Eigenvalues |
2+ 0 -2 -1 -3 5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9851,376329] |
[a1,a2,a3,a4,a6] |
Generators |
[56:17:1] |
Generators of the group modulo torsion |
j |
6607614334816512/15949697 |
j-invariant |
L |
3.3936627160749 |
L(r)(E,1)/r! |
Ω |
1.5133387090124 |
Real period |
R |
2.2425004368531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23944a1 |
Quadratic twists by: -4 |