Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360db |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
2.6034313339985E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5468065,-4267362625] |
[a1,a2,a3,a4,a6] |
j |
68973914606086620649/9931302391046400 |
j-invariant |
L |
4.7844546166504 |
L(r)(E,1)/r! |
Ω |
0.09967613596888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360fr2 2730a2 |
Quadratic twists by: -4 8 |