Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472bx |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
4472832 = 214 · 3 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-369,-2607] |
[a1,a2,a3,a4,a6] |
Generators |
[53:352:1] |
Generators of the group modulo torsion |
j |
340062928/273 |
j-invariant |
L |
3.0155334190339 |
L(r)(E,1)/r! |
Ω |
1.089095234691 |
Real period |
R |
2.7688427264944 |
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 |
17472bk1 4368f1 52416fi1 122304hg1 |
Quadratic twists by: -4 8 -3 -7 |