Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bx |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-164875025390625 = -1 · 37 · 59 · 113 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11- -1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13383,-166334] |
[a1,a2,a3,a4,a6] |
j |
186169411/115797 |
j-invariant |
L |
3.9709853220917 |
L(r)(E,1)/r! |
Ω |
0.33091544383471 |
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 |
23925m1 71775bz1 |
Quadratic twists by: -3 5 |