Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420q |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
303385645780560 = 24 · 38 · 5 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70608,7172737] |
[a1,a2,a3,a4,a6] |
Generators |
[-298:1323:1] |
Generators of the group modulo torsion |
j |
3337628010151936/26010429165 |
j-invariant |
L |
4.6506223344574 |
L(r)(E,1)/r! |
Ω |
0.54825973630101 |
Real period |
R |
1.4137527727989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
85680dz3 7140o3 107100s3 |
Quadratic twists by: -4 -3 5 |