Atkin-Lehner |
2+ 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080d |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3163657512960 = 211 · 38 · 5 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9616,355936] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:806:1] [18:434:1] |
Generators of the group modulo torsion |
j |
48020014488098/1544754645 |
j-invariant |
L |
7.8591383242098 |
L(r)(E,1)/r! |
Ω |
0.79342476733113 |
Real period |
R |
2.4763338150652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040r2 |
Quadratic twists by: -4 |