Atkin-Lehner |
2+ 3- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
6486l |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
9962496 = 210 · 32 · 23 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55,26] |
[a1,a2,a3,a4,a6] |
Generators |
[10:17:1] |
Generators of the group modulo torsion |
j |
17923019113/9962496 |
j-invariant |
L |
3.9879778246796 |
L(r)(E,1)/r! |
Ω |
1.9866080956878 |
Real period |
R |
2.0074305714026 |
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 |
51888k1 19458h1 |
Quadratic twists by: -4 -3 |