Atkin-Lehner |
2+ 3+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6486i |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-263383488 = -1 · 26 · 34 · 23 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 6 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-86,-876] |
[a1,a2,a3,a4,a6] |
Generators |
[44:266:1] |
Generators of the group modulo torsion |
j |
-71628489577/263383488 |
j-invariant |
L |
2.5760744751438 |
L(r)(E,1)/r! |
Ω |
0.71699378134868 |
Real period |
R |
1.7964412956959 |
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 |
51888p1 19458d1 |
Quadratic twists by: -4 -3 |