Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208cw |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
57001772302900992 = 28 · 38 · 79 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128004,-13413240] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:2058:1] |
Generators of the group modulo torsion |
j |
7701397204048/1892605743 |
j-invariant |
L |
5.7292084950516 |
L(r)(E,1)/r! |
Ω |
0.25693312909779 |
Real period |
R |
1.3936526294005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17052g2 9744j2 |
Quadratic twists by: -4 -7 |