Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560cf |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1321921510031360 = 214 · 5 · 73 · 196 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27441,27439] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:1292:1] |
Generators of the group modulo torsion |
j |
139482396527056/80683685915 |
j-invariant |
L |
2.6304622164564 |
L(r)(E,1)/r! |
Ω |
0.40858319469945 |
Real period |
R |
2.1460029443046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560p4 10640u4 |
Quadratic twists by: -4 8 |