Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41760h |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
845640000 = 26 · 36 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,-1028] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:18:1] |
Generators of the group modulo torsion |
j |
48228544/18125 |
j-invariant |
L |
3.4725153236966 |
L(r)(E,1)/r! |
Ω |
1.2120114547717 |
Real period |
R |
1.4325422874612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760ba1 83520cm2 4640f1 |
Quadratic twists by: -4 8 -3 |