Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800cq |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1566021600000000 = 211 · 34 · 58 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-644453408,-6297239577312] |
[a1,a2,a3,a4,a6] |
Generators |
[326561926993803395088038489341285648125234489363:-123597896406367896399246758861516019539543451944350:2208091625733621869446524697980424804527441] |
Generators of the group modulo torsion |
j |
925014005732729613959858/48938175 |
j-invariant |
L |
9.0359558668327 |
L(r)(E,1)/r! |
Ω |
0.029964130059074 |
Real period |
R |
75.389773112539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160c3 |
Quadratic twists by: 5 |