Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080bg |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3660803693568000 = 213 · 312 · 53 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141800,-20298000] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:310:1] |
Generators of the group modulo torsion |
j |
76983121960756201/893750901750 |
j-invariant |
L |
4.5898989418181 |
L(r)(E,1)/r! |
Ω |
0.24619827831122 |
Real period |
R |
1.5535916055552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510k2 |
Quadratic twists by: -4 |