Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42600z |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
510401250000 = 24 · 34 · 57 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2783,43938] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:213:1] |
Generators of the group modulo torsion |
j |
9538484224/2041605 |
j-invariant |
L |
8.0016470076691 |
L(r)(E,1)/r! |
Ω |
0.87746190897172 |
Real period |
R |
1.1398852368766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200i1 127800q1 8520b1 |
Quadratic twists by: -4 -3 5 |