Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
11928g |
Isogeny class |
Conductor |
11928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15028669594810368 = 211 · 316 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110192,12820812] |
[a1,a2,a3,a4,a6] |
Generators |
[428323735:42785566956:42875] |
Generators of the group modulo torsion |
j |
72251671383620066/7338217575591 |
j-invariant |
L |
4.5646799390747 |
L(r)(E,1)/r! |
Ω |
0.3825762597552 |
Real period |
R |
11.931424971313 |
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 |
23856k3 95424w3 35784h3 83496x3 |
Quadratic twists by: -4 8 -3 -7 |