Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312m |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-1788853878784 = -1 · 231 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- 6 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,532,64176] |
[a1,a2,a3,a4,a6] |
j |
1296351/139264 |
j-invariant |
L |
2.5678614709433 |
L(r)(E,1)/r! |
Ω |
0.64196536744364 |
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 |
53312br1 1666j1 53312k1 |
Quadratic twists by: -4 8 -7 |