Atkin-Lehner |
2+ 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560k |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-1.2645737307211E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16173396,-59620926420] |
[a1,a2,a3,a4,a6] |
Generators |
[17154:2170476:1] |
Generators of the group modulo torsion |
j |
-1827626448626501688180304/4939741135629272671875 |
j-invariant |
L |
7.9421267516944 |
L(r)(E,1)/r! |
Ω |
0.034948950084158 |
Real period |
R |
1.5781205977726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280a2 |
Quadratic twists by: -4 |