Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5746c |
Isogeny class |
Conductor |
5746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
55469689028 = 22 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1524,-20548] |
[a1,a2,a3,a4,a6] |
Generators |
[-762:1226:27] |
Generators of the group modulo torsion |
j |
81182737/11492 |
j-invariant |
L |
4.2002092576943 |
L(r)(E,1)/r! |
Ω |
0.77123825134215 |
Real period |
R |
2.7230296541859 |
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 |
45968l1 51714u1 442d1 97682f1 |
Quadratic twists by: -4 -3 13 17 |