Atkin-Lehner |
2- 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57040o |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
-2.740772E+20 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -2 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,825000,-742187500] |
[a1,a2,a3,a4,a6] |
j |
15160903498132424999/66913378906250000 |
j-invariant |
L |
2.4605213946059 |
L(r)(E,1)/r! |
Ω |
0.087875764014428 |
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 |
7130d1 |
Quadratic twists by: -4 |