Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550t |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
4977338625000000 = 26 · 39 · 59 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-151242,22420916] |
[a1,a2,a3,a4,a6] |
j |
9952248951/129472 |
j-invariant |
L |
1.7336955332178 |
L(r)(E,1)/r! |
Ω |
0.43342388316643 |
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 |
53550dc1 53550cw1 |
Quadratic twists by: -3 5 |