Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840s |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5149451865600000 = 212 · 32 · 55 · 73 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51450481,142029918719] |
[a1,a2,a3,a4,a6] |
j |
3677325644072795235736384/1257190396875 |
j-invariant |
L |
3.09030218064 |
L(r)(E,1)/r! |
Ω |
0.25752518159807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840bc4 127680bl1 |
Quadratic twists by: -4 8 |