Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4550h |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
53762769424000000 = 210 · 56 · 76 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106342,7355316] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:4434:1] |
Generators of the group modulo torsion |
j |
8511781274893233/3440817243136 |
j-invariant |
L |
2.8918237505421 |
L(r)(E,1)/r! |
Ω |
0.32148750244085 |
Real period |
R |
0.7495946520954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36400bk2 40950ev2 182a2 31850e2 |
Quadratic twists by: -4 -3 5 -7 |