Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40460g |
Isogeny class |
Conductor |
40460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-17195500000000 = -1 · 28 · 59 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1088,199988] |
[a1,a2,a3,a4,a6] |
Generators |
[493:10931:1] |
Generators of the group modulo torsion |
j |
-113246208/13671875 |
j-invariant |
L |
5.516061099149 |
L(r)(E,1)/r! |
Ω |
0.56823397077871 |
Real period |
R |
4.8536882541462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40460k1 |
Quadratic twists by: 17 |