Atkin-Lehner |
2- 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240dd |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
75202560 |
Modular degree for the optimal curve |
Δ |
2.1990275505193E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5461504000,155333669812148] |
[a1,a2,a3,a4,a6] |
j |
4398458841654808806211585536001/536871960576000000000000 |
j-invariant |
L |
5.3392814684033 |
L(r)(E,1)/r! |
Ω |
0.044494012453511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030o1 |
Quadratic twists by: -4 |