Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312bx |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-14680306221056 = -1 · 220 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5684,82320] |
[a1,a2,a3,a4,a6] |
j |
658503/476 |
j-invariant |
L |
1.7857031484872 |
L(r)(E,1)/r! |
Ω |
0.44642578741134 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312s1 13328q1 7616j1 |
Quadratic twists by: -4 8 -7 |