Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150bt |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5298053062500000 = 25 · 36 · 59 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2583513,1597241031] |
[a1,a2,a3,a4,a6] |
Generators |
[85:37082:1] |
Generators of the group modulo torsion |
j |
976395203417064509/2712603168 |
j-invariant |
L |
9.0776750117358 |
L(r)(E,1)/r! |
Ω |
0.3733925634598 |
Real period |
R |
1.2155671938968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51150ba2 |
Quadratic twists by: 5 |