Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600ce |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
26826826752000000 = 216 · 39 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-313875,67223250] |
[a1,a2,a3,a4,a6] |
Generators |
[-519:9504:1] |
Generators of the group modulo torsion |
j |
2714704875/21296 |
j-invariant |
L |
6.6064514120415 |
L(r)(E,1)/r! |
Ω |
0.37736944985656 |
Real period |
R |
1.4588823177905 |
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 |
4950b3 39600bx1 1584j3 |
Quadratic twists by: -4 -3 5 |