Atkin-Lehner |
2- 3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42504l |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
16066512 = 24 · 34 · 72 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:7:1] |
Generators of the group modulo torsion |
j |
1755904000/1004157 |
j-invariant |
L |
3.8603264551133 |
L(r)(E,1)/r! |
Ω |
1.8337171169759 |
Real period |
R |
1.0525959591514 |
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 |
85008v1 127512g1 |
Quadratic twists by: -4 -3 |