Atkin-Lehner |
41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
75809f |
Isogeny class |
Conductor |
75809 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17136 |
Modular degree for the optimal curve |
Δ |
3108169 = 412 · 432 |
Discriminant |
Eigenvalues |
1 1 -3 3 4 -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-340,-2435] |
[a1,a2,a3,a4,a6] |
j |
2340917377/1681 |
j-invariant |
L |
2.2244961631458 |
L(r)(E,1)/r! |
Ω |
1.1122480884245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75809d1 |
Quadratic twists by: -43 |