Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2844b |
Isogeny class |
Conductor |
2844 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10747862784 = 28 · 312 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3711,86870] |
[a1,a2,a3,a4,a6] |
Generators |
[22:126:1] |
Generators of the group modulo torsion |
j |
30285104848/57591 |
j-invariant |
L |
3.021965931185 |
L(r)(E,1)/r! |
Ω |
1.2824131477609 |
Real period |
R |
2.3564683007667 |
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 |
11376s2 45504n2 948a2 71100e2 |
Quadratic twists by: -4 8 -3 5 |