Atkin-Lehner |
3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
8463i |
Isogeny class |
Conductor |
8463 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1965827828249649 = 32 · 72 · 136 · 314 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4926407,4208245445] |
[a1,a2,a3,a4,a6] |
j |
13222526660758430457774697/1965827828249649 |
j-invariant |
L |
2.1898229563782 |
L(r)(E,1)/r! |
Ω |
0.36497049272971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25389h2 59241d2 110019v2 |
Quadratic twists by: -3 -7 13 |