Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110bl |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2619695828750000000 = 27 · 510 · 7 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-680628,201555506] |
[a1,a2,a3,a4,a6] |
Generators |
[-320:19822:1] |
Generators of the group modulo torsion |
j |
19683218700810001/1478750000000 |
j-invariant |
L |
3.4446408623494 |
L(r)(E,1)/r! |
Ω |
0.25084731340732 |
Real period |
R |
0.6866011110714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999432585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
910k2 |
Quadratic twists by: -11 |