Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280fh |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
-2.820863384617E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1288788,2492517584] |
[a1,a2,a3,a4,a6] |
j |
1238798620042199/14760960000000 |
j-invariant |
L |
2.960525185065 |
L(r)(E,1)/r! |
Ω |
0.10573304293736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ct1 22320bj1 29760bq1 |
Quadratic twists by: -4 8 -3 |