Atkin-Lehner |
2+ 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008v |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
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] |
j |
1755904000/1004157 |
j-invariant |
L |
3.7744349561582 |
L(r)(E,1)/r! |
Ω |
1.8872175203094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504l1 |
Quadratic twists by: -4 |