Atkin-Lehner |
3- 5- 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205bc |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-1.5578014258126E+19 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 11- 4 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1979697,1088814195] |
[a1,a2,a3,a4,a6] |
j |
-1177043080793905967104/21369018186729675 |
j-invariant |
L |
5.3079977742619 |
L(r)(E,1)/r! |
Ω |
0.22116661033804 |
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 |
42735f1 |
Quadratic twists by: -3 |