Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32946k |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-1029066103178082 = -1 · 2 · 310 · 176 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24716,-2151196] |
[a1,a2,a3,a4,a6] |
Generators |
[432:-8453:1] |
Generators of the group modulo torsion |
j |
-69173457625/42633378 |
j-invariant |
L |
3.6257142168125 |
L(r)(E,1)/r! |
Ω |
0.18519342598729 |
Real period |
R |
0.97889927719714 |
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 |
98838bm2 114b2 |
Quadratic twists by: -3 17 |