Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
51912r |
Isogeny class |
Conductor |
51912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
98091254016 = 28 · 312 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -2 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1839,-26350] |
[a1,a2,a3,a4,a6] |
j |
3685542352/525609 |
j-invariant |
L |
2.943880826647 |
L(r)(E,1)/r! |
Ω |
0.73597020688387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824l1 17304c1 |
Quadratic twists by: -4 -3 |