Atkin-Lehner |
3+ 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17385c |
Isogeny class |
Conductor |
17385 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.8214652492198E+24 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-124586133,-518107931802] |
[a1,a2,a3,a4,a6] |
Generators |
[-5448358871134577365238025073679766:-47637996824316797155547296962690846:980539322817258209893987933309] |
Generators of the group modulo torsion |
j |
213861611882913308504467379929/7821465249219779794921875 |
j-invariant |
L |
4.4093137919108 |
L(r)(E,1)/r! |
Ω |
0.04529059085009 |
Real period |
R |
48.678033440825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52155i2 86925j2 |
Quadratic twists by: -3 5 |