Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570cy |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
3.0040620088685E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4178966,-1964545500] |
[a1,a2,a3,a4,a6] |
Generators |
[-932:33946:1] |
Generators of the group modulo torsion |
j |
68602823713744140241/25534105762636800 |
j-invariant |
L |
11.329247650567 |
L(r)(E,1)/r! |
Ω |
0.10891428090703 |
Real period |
R |
0.24766632018642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510q1 |
Quadratic twists by: -7 |