Atkin-Lehner |
2+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662r |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3700734239048 = 23 · 72 · 116 · 732 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3875,6774] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:248:1] |
Generators of the group modulo torsion |
j |
3630961153/2088968 |
j-invariant |
L |
4.388656568594 |
L(r)(E,1)/r! |
Ω |
0.67167593247331 |
Real period |
R |
3.2669449953214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999809625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1022c2 |
Quadratic twists by: -11 |