Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6510t |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-665212176300 = -1 · 22 · 3 · 52 · 74 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,619,-38739] |
[a1,a2,a3,a4,a6] |
Generators |
[30:69:1] |
Generators of the group modulo torsion |
j |
26227192752431/665212176300 |
j-invariant |
L |
6.4776737812033 |
L(r)(E,1)/r! |
Ω |
0.4396812749223 |
Real period |
R |
3.6831644594985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52080bc3 19530t4 32550g3 45570cg3 |
Quadratic twists by: -4 -3 5 -7 |