Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208t |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
25993770902378496 = 211 · 312 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-436312,-110802700] |
[a1,a2,a3,a4,a6] |
Generators |
[1628:59130:1] |
Generators of the group modulo torsion |
j |
38123958498194/107882523 |
j-invariant |
L |
8.8797565831865 |
L(r)(E,1)/r! |
Ω |
0.18579073477265 |
Real period |
R |
3.9828666168356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34104d4 9744a4 |
Quadratic twists by: -4 -7 |