Atkin-Lehner |
2- 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040cp |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.2465116941721E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1718080,-1226472460] |
[a1,a2,a3,a4,a6] |
Generators |
[92678867435:936642942696:57066625] |
Generators of the group modulo torsion |
j |
-136928598728730419521/79260539408498385 |
j-invariant |
L |
9.8434829723983 |
L(r)(E,1)/r! |
Ω |
0.064221350417336 |
Real period |
R |
19.159288371653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999976825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5565d4 |
Quadratic twists by: -4 |