Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040cq |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5312840601600 = 212 · 32 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5161,-91561] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:225:1] |
Generators of the group modulo torsion |
j |
31554496/11025 |
j-invariant |
L |
6.7841882002765 |
L(r)(E,1)/r! |
Ω |
0.57940038370505 |
Real period |
R |
2.9272453000877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040n2 23520bk1 6720n2 |
Quadratic twists by: -4 8 -7 |