Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bk |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-985337325000000 = -1 · 26 · 33 · 58 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37201,3144548] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:2186:1] |
Generators of the group modulo torsion |
j |
-14575072995625/2522463552 |
j-invariant |
L |
4.8566382491198 |
L(r)(E,1)/r! |
Ω |
0.47578684478282 |
Real period |
R |
0.8506327119617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97650ex1 32550bv1 |
Quadratic twists by: -3 5 |