Atkin-Lehner |
3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33135m |
Isogeny class |
Conductor |
33135 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-615547091362545 = -1 · 35 · 5 · 477 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 2 7 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-79570,-8727883] |
[a1,a2,a3,a4,a6] |
j |
-5168743489/57105 |
j-invariant |
L |
2.840706012031 |
L(r)(E,1)/r! |
Ω |
0.14203530060138 |
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 |
99405e1 705e1 |
Quadratic twists by: -3 -47 |