Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730cg |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
254220045385068000 = 25 · 37 · 53 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-544037,152669949] |
[a1,a2,a3,a4,a6] |
Generators |
[-483:17636:1] |
Generators of the group modulo torsion |
j |
24427597012791258889/348724342092000 |
j-invariant |
L |
9.8255369931226 |
L(r)(E,1)/r! |
Ω |
0.31211581781398 |
Real period |
R |
0.26233683225718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910c2 |
Quadratic twists by: -3 |