Atkin-Lehner |
2+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550b |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.5393817763876E+20 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -3 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-189783126,-1006331819352] |
[a1,a2,a3,a4,a6] |
Generators |
[-1472432379:682989493:185193] |
Generators of the group modulo torsion |
j |
48381181538236885996030801/16252043368880320 |
j-invariant |
L |
3.7257777542028 |
L(r)(E,1)/r! |
Ω |
0.040675712098821 |
Real period |
R |
11.449638992033 |
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 |
5510j2 |
Quadratic twists by: 5 |