Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400el |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1452729852000000000 = 211 · 32 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1872208,-984922912] |
[a1,a2,a3,a4,a6] |
Generators |
[-24866639493044331:40857842725329806:31623446801367] |
Generators of the group modulo torsion |
j |
4496182/9 |
j-invariant |
L |
6.8669070325473 |
L(r)(E,1)/r! |
Ω |
0.12908127217471 |
Real period |
R |
26.599160811079 |
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 |
58800bt2 88200dk2 29400ba2 29400dd2 |
Quadratic twists by: -4 -3 5 -7 |