Atkin-Lehner |
2- 3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cv |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.9520823737941E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2200050,6838287330] |
[a1,a2,a3,a4,a6] |
Generators |
[263214:478628549:5832] |
Generators of the group modulo torsion |
j |
-1177663941072382798087201/19520823737941361157630 |
j-invariant |
L |
11.348243665614 |
L(r)(E,1)/r! |
Ω |
0.10289793216622 |
Real period |
R |
13.785801408624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810y5 |
Quadratic twists by: -3 |