Atkin-Lehner |
2- 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
123708a |
Isogeny class |
Conductor |
123708 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.714667320368E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-448244,-44914185096] |
[a1,a2,a3,a4,a6] |
j |
-8060612743888/705262404627729 |
j-invariant |
L |
0.64938946523465 |
L(r)(E,1)/r! |
Ω |
0.040586877972201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9516a2 |
Quadratic twists by: 13 |