Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570da |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
5.729426858711E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38449811,84228846141] |
[a1,a2,a3,a4,a6] |
Generators |
[-1262:362215:1] |
Generators of the group modulo torsion |
j |
53434051027037036566561/4869932476018522500 |
j-invariant |
L |
10.442351064933 |
L(r)(E,1)/r! |
Ω |
0.089592162878772 |
Real period |
R |
1.8211608041027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6510r3 |
Quadratic twists by: -7 |