Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bt |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2575869445144576 = -1 · 218 · 76 · 174 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2156,-2442160] |
[a1,a2,a3,a4,a6] |
Generators |
[211684:1480800:1331] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
3.9891147183214 |
L(r)(E,1)/r! |
Ω |
0.20673722813582 |
Real period |
R |
9.6477899851951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312o3 13328o4 1088k4 |
Quadratic twists by: -4 8 -7 |