Atkin-Lehner |
2+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8030f |
Isogeny class |
Conductor |
8030 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-177322475000 = -1 · 23 · 55 · 113 · 732 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 11- 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1822,-36916] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1926:1] |
Generators of the group modulo torsion |
j |
-669485563505641/177322475000 |
j-invariant |
L |
2.2740337513853 |
L(r)(E,1)/r! |
Ω |
0.36035544922654 |
Real period |
R |
0.21035098874979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64240q1 72270z1 40150bb1 88330bj1 |
Quadratic twists by: -4 -3 5 -11 |