Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480q |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
7.3137961720838E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4998387,-1253203234] |
[a1,a2,a3,a4,a6] |
Generators |
[2662:65610:1] |
Generators of the group modulo torsion |
j |
18500602077383458756/9797502159534375 |
j-invariant |
L |
6.6222234445574 |
L(r)(E,1)/r! |
Ω |
0.10719381458873 |
Real period |
R |
3.0889018503287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960bp2 17160o2 |
Quadratic twists by: -4 -3 |