Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560bi |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-7866449920 = -1 · 215 · 5 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 5 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507692,-139235056] |
[a1,a2,a3,a4,a6] |
Generators |
[1833222477567249287515:-345866471123032996570979:51481754118684343] |
Generators of the group modulo torsion |
j |
-441646443250372872/240065 |
j-invariant |
L |
6.4647223071822 |
L(r)(E,1)/r! |
Ω |
0.089427168280122 |
Real period |
R |
36.145180662168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560bc1 21280d1 |
Quadratic twists by: -4 8 |