Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13776g |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4267620532224 = -1 · 215 · 33 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 0 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2778664,1783724656] |
[a1,a2,a3,a4,a6] |
Generators |
[120330:686:125] |
Generators of the group modulo torsion |
j |
-579257977790409391657/1041899544 |
j-invariant |
L |
4.687677870114 |
L(r)(E,1)/r! |
Ω |
0.50330481117495 |
Real period |
R |
2.3284487680392 |
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 |
1722g2 55104dc2 41328bg2 96432cp2 |
Quadratic twists by: -4 8 -3 -7 |