Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528q |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4149707998464 = 28 · 39 · 77 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48951,4167450] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:2646:1] |
Generators of the group modulo torsion |
j |
21882096/7 |
j-invariant |
L |
3.1377868612023 |
L(r)(E,1)/r! |
Ω |
0.76396762198419 |
Real period |
R |
0.51340311600064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7056i2 28224n2 3528d2 88200e2 |
Quadratic twists by: -4 8 -3 5 |