Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1632h |
Isogeny class |
Conductor |
1632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
1498176 = 26 · 34 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102,-360] |
[a1,a2,a3,a4,a6] |
Generators |
[44:280:1] |
Generators of the group modulo torsion |
j |
1851804352/23409 |
j-invariant |
L |
2.670384327647 |
L(r)(E,1)/r! |
Ω |
1.5021985632147 |
Real period |
R |
3.5553014002788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1632l1 3264bd2 4896b1 40800s1 |
Quadratic twists by: -4 8 -3 5 |