Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600em |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-162882292500000000 = -1 · 28 · 37 · 510 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-654375,-204668750] |
[a1,a2,a3,a4,a6] |
Generators |
[72829620772599985238:33428044682359278105834:345697138818487] |
Generators of the group modulo torsion |
j |
-17003419600/89373 |
j-invariant |
L |
5.6180292400063 |
L(r)(E,1)/r! |
Ω |
0.083902784471718 |
Real period |
R |
33.479396872103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27900n2 37200cy2 111600gc2 |
Quadratic twists by: -4 -3 5 |