Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840bv |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
85136002560000 = 212 · 36 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-242401,-46014385] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:21:1] |
Generators of the group modulo torsion |
j |
384564133520985664/20785156875 |
j-invariant |
L |
8.1451335710843 |
L(r)(E,1)/r! |
Ω |
0.21516281224971 |
Real period |
R |
1.5773198068251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840bb2 127680ep1 |
Quadratic twists by: -4 8 |