Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330du |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.3569531313074E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-439482308,3434973362727] |
[a1,a2,a3,a4,a6] |
j |
109454124781830273937129/3914078300576808000 |
j-invariant |
L |
2.5779030363026 |
L(r)(E,1)/r! |
Ω |
0.053706313305981 |
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 |
19110j7 8190bv7 |
Quadratic twists by: -3 -7 |