Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4368p |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-42669529104384 = -1 · 221 · 33 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1944,316656] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1664:1] |
Generators of the group modulo torsion |
j |
-198461344537/10417365504 |
j-invariant |
L |
3.6261379089514 |
L(r)(E,1)/r! |
Ω |
0.53206557965153 |
Real period |
R |
0.56793404917714 |
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 |
546d2 17472cq2 13104by2 109200gb2 |
Quadratic twists by: -4 8 -3 5 |