Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5208j |
Isogeny class |
Conductor |
5208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
4499712 = 28 · 34 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,-252] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
259108432/17577 |
j-invariant |
L |
2.7280759620316 |
L(r)(E,1)/r! |
Ω |
1.5821534833343 |
Real period |
R |
0.86214011180583 |
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 |
10416k1 41664br1 15624j1 36456z1 |
Quadratic twists by: -4 8 -3 -7 |