Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280ca |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
635355401394585600 = 222 · 38 · 52 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11070732,14177871344] |
[a1,a2,a3,a4,a6] |
Generators |
[2408:38500:1] |
Generators of the group modulo torsion |
j |
785209010066844481/3324675600 |
j-invariant |
L |
5.5655968078655 |
L(r)(E,1)/r! |
Ω |
0.25397131165098 |
Real period |
R |
5.4785683925377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009659 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89280fq4 2790g4 29760b4 |
Quadratic twists by: -4 8 -3 |