Atkin-Lehner |
2- 3+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72540j |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
5765760 |
Modular degree for the optimal curve |
Δ |
-1.5521213677413E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 1 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54520287,-154959357434] |
[a1,a2,a3,a4,a6] |
j |
-2592951434944747156478448/224554596027383375 |
j-invariant |
L |
3.5002439582566 |
L(r)(E,1)/r! |
Ω |
0.027779713930864 |
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 |
72540c1 |
Quadratic twists by: -3 |