Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
392a |
Isogeny class |
Conductor |
392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1686616064 = 211 · 77 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14651,-682570] |
[a1,a2,a3,a4,a6] |
Generators |
[3918:13420:27] |
Generators of the group modulo torsion |
j |
1443468546/7 |
j-invariant |
L |
1.6420053998926 |
L(r)(E,1)/r! |
Ω |
0.43394317672173 |
Real period |
R |
7.5678360116053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
784c4 3136e3 3528k4 9800d3 |
Quadratic twists by: -4 8 -3 5 |