Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400dr |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2337356250000 = 24 · 39 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 6 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145125,21279375] |
[a1,a2,a3,a4,a6] |
Generators |
[-354:5319:1] |
Generators of the group modulo torsion |
j |
2747761920/19 |
j-invariant |
L |
6.9271009864034 |
L(r)(E,1)/r! |
Ω |
0.73147929612705 |
Real period |
R |
4.7349945676957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100j2 68400ds1 68400df2 |
Quadratic twists by: -4 -3 5 |