Atkin-Lehner |
2+ 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160n |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12388761600 = 215 · 3 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3105,67425] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:355:1] [40:75:1] |
Generators of the group modulo torsion |
j |
101064458312/378075 |
j-invariant |
L |
8.398951976511 |
L(r)(E,1)/r! |
Ω |
1.2719514069704 |
Real period |
R |
3.3016009615418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160bn2 34080r2 |
Quadratic twists by: -4 8 |