Atkin-Lehner |
2- 3+ 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182o |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
5547445884288 = 27 · 32 · 76 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8817,294159] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:696:1] |
Generators of the group modulo torsion |
j |
75803509545159313/5547445884288 |
j-invariant |
L |
8.0010952250431 |
L(r)(E,1)/r! |
Ω |
0.74564052564304 |
Real period |
R |
0.76646424400809 |
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 |
84546h2 |
Quadratic twists by: -3 |