Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675g |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2782080 |
Modular degree for the optimal curve |
Δ |
1.2822659084048E+22 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 5 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7445950,-5613485375] |
[a1,a2,a3,a4,a6] |
j |
2595575/729 |
j-invariant |
L |
1.493410036275 |
L(r)(E,1)/r! |
Ω |
0.093338127267681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025bh1 39675bp1 39675f1 |
Quadratic twists by: -3 5 -23 |