Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600dk |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.1334643675136E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-439869675,-2769488491750] |
[a1,a2,a3,a4,a6] |
Generators |
[-111534305140967807:-8742579472042365438:11676998196703] |
Generators of the group modulo torsion |
j |
201738262891771037089/45727545600000000 |
j-invariant |
L |
6.7800829543805 |
L(r)(E,1)/r! |
Ω |
0.033502010734638 |
Real period |
R |
25.297298601286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4950bm2 13200bt2 7920bi2 |
Quadratic twists by: -4 -3 5 |