Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576s |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
-9.5214625060192E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -5 13+ -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58812952,-174256384828] |
[a1,a2,a3,a4,a6] |
j |
-3811170500576969572/16129443546333 |
j-invariant |
L |
2.7251557477926 |
L(r)(E,1)/r! |
Ω |
0.027251557477964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15288a1 122304es1 91728o1 30576l1 |
Quadratic twists by: -4 8 -3 -7 |