Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528k |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4303400887296 = 210 · 36 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8379,277830] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:720:1] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
3.9515677311126 |
L(r)(E,1)/r! |
Ω |
0.76336835212649 |
Real period |
R |
2.5882444039662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7056x2 28224ck2 392a2 88200gt2 |
Quadratic twists by: -4 8 -3 5 |