Atkin-Lehner |
3+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
80223g |
Isogeny class |
Conductor |
80223 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-5.1724342850503E+35 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11- 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,197562957150,-7411866791191551] |
[a1,a2,a3,a4,a6] |
Generators |
[22835092264271363634206740:-64465552671727742511354694433:2875136541170890816] |
Generators of the group modulo torsion |
j |
481375691534989591168533139109375/291970430882721534414299079537 |
j-invariant |
L |
5.3772232436071 |
L(r)(E,1)/r! |
Ω |
0.0053856555802421 |
Real period |
R |
35.658367758042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7293b2 |
Quadratic twists by: -11 |