Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bn |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3753425765376000 = 213 · 34 · 53 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84672320,299917064832] |
[a1,a2,a3,a4,a6] |
Generators |
[3329:234360:1] |
Generators of the group modulo torsion |
j |
16390346986841626266511681/916363712250 |
j-invariant |
L |
6.5339965802952 |
L(r)(E,1)/r! |
Ω |
0.24171215296931 |
Real period |
R |
2.2526782718023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6510y3 |
Quadratic twists by: -4 |