Atkin-Lehner |
2+ 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570o |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-2.5101565239562E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-522267,-2415098979] |
[a1,a2,a3,a4,a6] |
Generators |
[64861090:658621487:42875] |
Generators of the group modulo torsion |
j |
-55772789609929/8886288384000 |
j-invariant |
L |
4.4255349215736 |
L(r)(E,1)/r! |
Ω |
0.064348866674221 |
Real period |
R |
11.462348782793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570y1 |
Quadratic twists by: -7 |