Atkin-Lehner |
2+ 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650b |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9671040 |
Modular degree for the optimal curve |
Δ |
7.006389721765E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -5 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-84179200,297237544960] |
[a1,a2,a3,a4,a6] |
j |
2638749073395350565296640625/2802555888705994752 |
j-invariant |
L |
0.65565093062628 |
L(r)(E,1)/r! |
Ω |
0.16391273366708 |
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 |
58650ck1 |
Quadratic twists by: 5 |