Atkin-Lehner |
2+ 3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264a |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1053696 |
Modular degree for the optimal curve |
Δ |
-255518192636135424 = -1 · 211 · 33 · 17 · 437 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 -3 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408003,103215906] |
[a1,a2,a3,a4,a6] |
Generators |
[663:11142:1] |
Generators of the group modulo torsion |
j |
-135837620374032054/4620916388819 |
j-invariant |
L |
6.4635680563431 |
L(r)(E,1)/r! |
Ω |
0.30944809065035 |
Real period |
R |
5.221851632925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52632a1 105264b1 |
Quadratic twists by: -4 -3 |