Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6510p |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
387548045337600 = 210 · 38 · 52 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-133970,18794207] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:6163:1] |
Generators of the group modulo torsion |
j |
265917296537844648481/387548045337600 |
j-invariant |
L |
5.322913948378 |
L(r)(E,1)/r! |
Ω |
0.53374401680511 |
Real period |
R |
0.99727842950633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52080cg2 19530g2 32550w2 45570cv2 |
Quadratic twists by: -4 -3 5 -7 |