Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41760c |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
2620946098543680 = 26 · 324 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118533,15513172] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1472:1] |
Generators of the group modulo torsion |
j |
3947608165749184/56175970905 |
j-invariant |
L |
4.8445609232533 |
L(r)(E,1)/r! |
Ω |
0.45696967309607 |
Real period |
R |
5.3007466452088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760z1 83520bx1 13920bc1 |
Quadratic twists by: -4 8 -3 |