Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6510p |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
311675678465185440 = 25 · 316 · 5 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-173170,6846047] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:5863:1] |
Generators of the group modulo torsion |
j |
574303998127522229281/311675678465185440 |
j-invariant |
L |
5.322913948378 |
L(r)(E,1)/r! |
Ω |
0.26687200840256 |
Real period |
R |
1.9945568590127 |
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 |
52080cg3 19530g4 32550w3 45570cv3 |
Quadratic twists by: -4 -3 5 -7 |