Atkin-Lehner |
3+ 5- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40455d |
Isogeny class |
Conductor |
40455 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
2211877125 = 39 · 53 · 29 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 4 -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-432,2612] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:67:1] |
Generators of the group modulo torsion |
j |
452984832/112375 |
j-invariant |
L |
6.0988515189963 |
L(r)(E,1)/r! |
Ω |
1.3708421279131 |
Real period |
R |
0.7414969473645 |
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 |
40455a1 |
Quadratic twists by: -3 |