Atkin-Lehner |
7+ 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
89621a |
Isogeny class |
Conductor |
89621 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
97104 |
Modular degree for the optimal curve |
Δ |
10543821029 = 78 · 31 · 59 |
Discriminant |
Eigenvalues |
0 0 1 7+ 5 3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25382,1556448] |
[a1,a2,a3,a4,a6] |
j |
313701728256/1829 |
j-invariant |
L |
1.1413814282114 |
L(r)(E,1)/r! |
Ω |
1.141381482324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89621g1 |
Quadratic twists by: -7 |