Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400ef |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
60886080000000 = 212 · 38 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25056075,-48274487750] |
[a1,a2,a3,a4,a6] |
Generators |
[6135:170050:1] |
Generators of the group modulo torsion |
j |
37286818682653441/1305 |
j-invariant |
L |
3.6736695170847 |
L(r)(E,1)/r! |
Ω |
0.067479412776951 |
Real period |
R |
6.8051672524412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6525f3 34800dl4 20880bv3 |
Quadratic twists by: -4 -3 5 |