Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36309v |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-156862960313787 = -1 · 33 · 77 · 135 · 19 |
Discriminant |
Eigenvalues |
-2 3- 2 7- -3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-30592,-2156066] |
[a1,a2,a3,a4,a6] |
Generators |
[317:4483:1] |
Generators of the group modulo torsion |
j |
-26913692127232/1333313163 |
j-invariant |
L |
3.6283079701443 |
L(r)(E,1)/r! |
Ω |
0.17997582651338 |
Real period |
R |
3.3599956546343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108927j1 5187a1 |
Quadratic twists by: -3 -7 |