Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840v |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1737469440000 = 212 · 36 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4065,75663] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:180:1] [3:252:1] |
Generators of the group modulo torsion |
j |
1814062505536/424186875 |
j-invariant |
L |
11.736200681073 |
L(r)(E,1)/r! |
Ω |
0.7889306116197 |
Real period |
R |
0.30991848618182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840m2 127680di1 |
Quadratic twists by: -4 8 |