Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680cg |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2096640 = 29 · 32 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43680,-3528360] |
[a1,a2,a3,a4,a6] |
Generators |
[363:5346:1] |
Generators of the group modulo torsion |
j |
18001619709615368/4095 |
j-invariant |
L |
7.4406441335878 |
L(r)(E,1)/r! |
Ω |
0.33023877810539 |
Real period |
R |
5.632775908601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680j4 87360c4 |
Quadratic twists by: -4 8 |