Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425dh |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
160463197125 = 39 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 11- 1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2018,28424] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:247:1] |
Generators of the group modulo torsion |
j |
148455501824/26198073 |
j-invariant |
L |
3.5534030783063 |
L(r)(E,1)/r! |
Ω |
0.9744571903462 |
Real period |
R |
0.067528631694952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275gb1 40425bq1 40425bb1 |
Quadratic twists by: -3 5 -7 |