Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096w |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-243499776 = -1 · 28 · 3 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 0 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12597,548409] |
[a1,a2,a3,a4,a6] |
Generators |
[65:2:1] |
Generators of the group modulo torsion |
j |
-863613873553408/951171 |
j-invariant |
L |
2.7907352369054 |
L(r)(E,1)/r! |
Ω |
1.4793799355883 |
Real period |
R |
0.94321112845009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4524f2 72384dd2 54288bz2 |
Quadratic twists by: -4 8 -3 |