Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576cn |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-139445206377824256 = -1 · 219 · 3 · 79 · 133 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2429240,-1458236844] |
[a1,a2,a3,a4,a6] |
j |
-9591639636223/843648 |
j-invariant |
L |
1.934860348919 |
L(r)(E,1)/r! |
Ω |
0.060464385903756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822c1 122304fz1 91728ed1 30576cb1 |
Quadratic twists by: -4 8 -3 -7 |