Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75429u |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2604672 |
Modular degree for the optimal curve |
Δ |
-2.7030963178536E+21 |
Discriminant |
Eigenvalues |
-1 3- 0 1 -4 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4149950,-4103281024] |
[a1,a2,a3,a4,a6] |
Generators |
[3491474678:4511902496:1442897] |
Generators of the group modulo torsion |
j |
-5378181625/1839267 |
j-invariant |
L |
3.3224925329355 |
L(r)(E,1)/r! |
Ω |
0.051990018174834 |
Real period |
R |
15.976588629776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25143n1 75429w1 |
Quadratic twists by: -3 17 |