Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787r |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-16513930441591737 = -1 · 3 · 710 · 117 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-151313,-23496054] |
[a1,a2,a3,a4,a6] |
j |
-765625/33 |
j-invariant |
L |
1.9316425885068 |
L(r)(E,1)/r! |
Ω |
0.12072766178168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361be1 17787b1 1617e1 |
Quadratic twists by: -3 -7 -11 |