Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6510u |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-3149798400 = -1 · 210 · 34 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-321,3465] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-69:1] |
Generators of the group modulo torsion |
j |
-3658671062929/3149798400 |
j-invariant |
L |
6.3912682489371 |
L(r)(E,1)/r! |
Ω |
1.298829494379 |
Real period |
R |
0.12301977042785 |
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 |
52080bd1 19530v1 32550l1 45570cl1 |
Quadratic twists by: -4 -3 5 -7 |