Atkin-Lehner |
5+ 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
93275b |
Isogeny class |
Conductor |
93275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7105536 |
Modular degree for the optimal curve |
Δ |
3.9935973996393E+21 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ -6 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8637188,-9285857633] |
[a1,a2,a3,a4,a6] |
Generators |
[85338075537:9101050948769:6967871] |
Generators of the group modulo torsion |
j |
4560587655341220430201/255590233576917785 |
j-invariant |
L |
2.2268435853865 |
L(r)(E,1)/r! |
Ω |
0.088373402337366 |
Real period |
R |
12.599059970549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999716492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18655g1 |
Quadratic twists by: 5 |