Atkin-Lehner |
3- 5+ 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755p |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2775552 |
Modular degree for the optimal curve |
Δ |
4.3168493866477E+20 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 11+ 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1905716,-162117799] |
[a1,a2,a3,a4,a6] |
Generators |
[-117050236:7001550209:314432] |
Generators of the group modulo torsion |
j |
765417664436451979055104/431684938664767198125 |
j-invariant |
L |
14.739538366368 |
L(r)(E,1)/r! |
Ω |
0.13839859693503 |
Real period |
R |
13.312579293425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122265bh1 |
Quadratic twists by: -3 |