Atkin-Lehner |
2+ 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
16614j |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
32297616 = 24 · 37 · 13 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-531,4837] |
[a1,a2,a3,a4,a6] |
Generators |
[17:14:1] |
Generators of the group modulo torsion |
j |
22737343537/44304 |
j-invariant |
L |
4.1871721461023 |
L(r)(E,1)/r! |
Ω |
2.0810618358044 |
Real period |
R |
1.0060181956304 |
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 |
5538j1 |
Quadratic twists by: -3 |