Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8470b |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
465850 = 2 · 52 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-820,9246] |
[a1,a2,a3,a4,a6] |
Generators |
[3:81:1] |
Generators of the group modulo torsion |
j |
45844273539/350 |
j-invariant |
L |
2.5400180486167 |
L(r)(E,1)/r! |
Ω |
2.6537763193608 |
Real period |
R |
0.95713343663738 |
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 |
67760bj2 76230eg2 42350cd2 59290bj2 |
Quadratic twists by: -4 -3 5 -7 |