Atkin-Lehner |
2+ 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52234f |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
208936 = 23 · 72 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ -3 2 7- 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] [-1:3:1] |
Generators of the group modulo torsion |
j |
9573417/4264 |
j-invariant |
L |
5.1448355184187 |
L(r)(E,1)/r! |
Ω |
2.4807123800057 |
Real period |
R |
2.0739347132238 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52234e1 |
Quadratic twists by: -7 |