Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072bj |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
61243392 |
Modular degree for the optimal curve |
Δ |
-1.4140696192288E+28 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,552466833,-2784206020430] |
[a1,a2,a3,a4,a6] |
j |
99925159494023677429826096/75771048698390224386207 |
j-invariant |
L |
1.4158990194959 |
L(r)(E,1)/r! |
Ω |
0.022123422282103 |
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 |
24024s1 |
Quadratic twists by: -3 |