Atkin-Lehner |
3+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8463f |
Isogeny class |
Conductor |
8463 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4287966475882648923 = -1 · 35 · 76 · 132 · 316 |
Discriminant |
Eigenvalues |
1 3+ -4 7- -2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6143,-99625820] |
[a1,a2,a3,a4,a6] |
Generators |
[4062:45107:8] |
Generators of the group modulo torsion |
j |
25630364860911719/4287966475882648923 |
j-invariant |
L |
2.8837677881315 |
L(r)(E,1)/r! |
Ω |
0.11312838680044 |
Real period |
R |
4.2485177971858 |
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 |
25389o2 59241t2 110019g2 |
Quadratic twists by: -3 -7 13 |