Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3360x |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
4898880000 = 29 · 37 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102060000,-396888659352] |
[a1,a2,a3,a4,a6] |
j |
229625675762164624948320008/9568125 |
j-invariant |
L |
2.6599513303383 |
L(r)(E,1)/r! |
Ω |
0.047499130898899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3360q3 6720bi3 10080n3 16800i2 |
Quadratic twists by: -4 8 -3 5 |