Atkin-Lehner |
2- 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900bh |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
29741590368000 = 28 · 38 · 53 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8188,109028] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:546:1] [92:378:1] |
Generators of the group modulo torsion |
j |
1897406023952/929424699 |
j-invariant |
L |
14.317906447799 |
L(r)(E,1)/r! |
Ω |
0.5878951944658 |
Real period |
R |
0.507385874974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123900r2 |
Quadratic twists by: 5 |