Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920by |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
64035360000000000 = 214 · 38 · 510 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159267,21219874] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:6750:1] [33:4000:1] |
Generators of the group modulo torsion |
j |
149628263143969/21445312500 |
j-invariant |
L |
9.2938904763018 |
L(r)(E,1)/r! |
Ω |
0.3353150698026 |
Real period |
R |
0.69292221803309 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5490j2 14640bc2 |
Quadratic twists by: -4 -3 |