Atkin-Lehner |
2+ 3- 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32538l |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-6262133328 = -1 · 24 · 38 · 112 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 -5 11- 1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-348,4522] |
[a1,a2,a3,a4,a6] |
Generators |
[14:42:1] [-19:75:1] |
Generators of the group modulo torsion |
j |
-4641584349241/6262133328 |
j-invariant |
L |
5.383186001322 |
L(r)(E,1)/r! |
Ω |
1.2084816030211 |
Real period |
R |
0.13920324655394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97614be1 |
Quadratic twists by: -3 |