Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4400a |
Isogeny class |
Conductor |
4400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2420000000 = 28 · 57 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-575,4750] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:100:1] |
Generators of the group modulo torsion |
j |
5256144/605 |
j-invariant |
L |
3.4167255157645 |
L(r)(E,1)/r! |
Ω |
1.403389153022 |
Real period |
R |
1.2173122146509 |
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 |
2200a2 17600cc2 39600bd2 880a2 |
Quadratic twists by: -4 8 -3 5 |