Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5304h |
Isogeny class |
Conductor |
5304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
6619392 = 28 · 32 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -6 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68,-156] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
137842000/25857 |
j-invariant |
L |
3.3023387599595 |
L(r)(E,1)/r! |
Ω |
1.6820626394373 |
Real period |
R |
0.49081685225828 |
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 |
10608h1 42432be1 15912a1 68952d1 |
Quadratic twists by: -4 8 -3 13 |