Atkin-Lehner |
2+ 3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63954i |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4843760588071218 = -1 · 2 · 312 · 112 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11+ 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7641,-3340521] |
[a1,a2,a3,a4,a6] |
Generators |
[223:-3180:1] |
Generators of the group modulo torsion |
j |
67672903684751/6644390381442 |
j-invariant |
L |
2.3611180481149 |
L(r)(E,1)/r! |
Ω |
0.20552494849154 |
Real period |
R |
1.4360288528815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21318s2 |
Quadratic twists by: -3 |