Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864bg |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18923520 |
Modular degree for the optimal curve |
Δ |
-6.941146166888E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -5 13+ 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-529316571,-4704393073786] |
[a1,a2,a3,a4,a6] |
Generators |
[584523896646515:-4114654077754332:21975528401] |
Generators of the group modulo torsion |
j |
-3811170500576969572/16129443546333 |
j-invariant |
L |
4.1039511361594 |
L(r)(E,1)/r! |
Ω |
0.015733694045739 |
Real period |
R |
21.736530977346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728o1 15288a1 45864bt1 |
Quadratic twists by: -4 -3 -7 |