Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600dk |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.43577125E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6598461675,-206292478315750] |
[a1,a2,a3,a4,a6] |
Generators |
[-132897752784482252175553690560129:256515251366508989353460211068414:2845769561178091294512465441] |
Generators of the group modulo torsion |
j |
680995599504466943307169/52207031250000000 |
j-invariant |
L |
6.7800829543805 |
L(r)(E,1)/r! |
Ω |
0.016751005367319 |
Real period |
R |
50.594597202572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950bm3 13200bt3 7920bi3 |
Quadratic twists by: -4 -3 5 |