Atkin-Lehner |
2+ 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978bg |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
1259357384877996096 = 26 · 314 · 76 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4858180,-4121581054] |
[a1,a2,a3,a4,a6] |
Generators |
[-1280:1022:1] |
Generators of the group modulo torsion |
j |
107784459654566688937/10704361149504 |
j-invariant |
L |
6.5587999611797 |
L(r)(E,1)/r! |
Ω |
0.10169128915036 |
Real period |
R |
2.3034702157519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998785 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1122c2 |
Quadratic twists by: -7 |