Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6510j |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-78476643840 = -1 · 29 · 3 · 5 · 73 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,437,13046] |
[a1,a2,a3,a4,a6] |
Generators |
[42:304:1] |
Generators of the group modulo torsion |
j |
9259677062999/78476643840 |
j-invariant |
L |
3.9611007986795 |
L(r)(E,1)/r! |
Ω |
0.79401953852489 |
Real period |
R |
0.55429657534881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52080be2 19530bu2 32550bq2 45570b2 |
Quadratic twists by: -4 -3 5 -7 |