Atkin-Lehner |
2+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49088c |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-10210304 = -1 · 210 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 1 3 3 2 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51,83] |
[a1,a2,a3,a4,a6] |
j |
14047232/9971 |
j-invariant |
L |
5.8050739368914 |
L(r)(E,1)/r! |
Ω |
1.4512684841907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49088n1 6136g1 |
Quadratic twists by: -4 8 |