Atkin-Lehner |
2- 3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330bf |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
16499721600 = 27 · 33 · 52 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51173,4468381] |
[a1,a2,a3,a4,a6] |
Generators |
[125:52:1] |
Generators of the group modulo torsion |
j |
548876485922920947/611100800 |
j-invariant |
L |
9.103738916339 |
L(r)(E,1)/r! |
Ω |
1.0415064485161 |
Real period |
R |
0.31217620706008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39330c2 |
Quadratic twists by: -3 |