Atkin-Lehner |
3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36309z |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-87177909 = -1 · 3 · 76 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3- -1 7- 0 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124,683] |
[a1,a2,a3,a4,a6] |
j |
-1771561/741 |
j-invariant |
L |
1.7935733864903 |
L(r)(E,1)/r! |
Ω |
1.7935733864813 |
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 |
108927v1 741a1 |
Quadratic twists by: -3 -7 |