Atkin-Lehner |
2+ 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040l |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
25006080 |
Modular degree for the optimal curve |
Δ |
5.7432448744413E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-595283736,-5590473987420] |
[a1,a2,a3,a4,a6] |
Generators |
[68064:16407846:1] |
Generators of the group modulo torsion |
j |
22782207743225132153234889316/56086375726966161465 |
j-invariant |
L |
7.2046735047497 |
L(r)(E,1)/r! |
Ω |
0.030564592817221 |
Real period |
R |
1.7857545244833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44520o1 |
Quadratic twists by: -4 |