Atkin-Lehner |
2- 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
40626s |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
8.8849241509223E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1657625,-684493639] |
[a1,a2,a3,a4,a6] |
Generators |
[-783:11920:1] |
Generators of the group modulo torsion |
j |
690963016200101079625/121878246240361152 |
j-invariant |
L |
10.05400800769 |
L(r)(E,1)/r! |
Ω |
0.13466219029704 |
Real period |
R |
1.0369577369772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13542f2 |
Quadratic twists by: -3 |