Atkin-Lehner |
2- 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5676a |
Isogeny class |
Conductor |
5676 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
68112 = 24 · 32 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 11+ -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10,1] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] [-1:3:1] |
Generators of the group modulo torsion |
j |
7626496/4257 |
j-invariant |
L |
3.6645780058284 |
L(r)(E,1)/r! |
Ω |
2.8586555764227 |
Real period |
R |
0.2136539308929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22704bf1 90816bm1 17028m1 62436e1 |
Quadratic twists by: -4 8 -3 -11 |