Atkin-Lehner |
2+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
73346f |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9422400 |
Modular degree for the optimal curve |
Δ |
-5.2800070700823E+23 |
Discriminant |
Eigenvalues |
2+ -1 -3 7+ -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19260699,-47765499491] |
[a1,a2,a3,a4,a6] |
Generators |
[37084075957:3414960450651:3442951] |
Generators of the group modulo torsion |
j |
-4675770381255255492880657/3124264538510263844864 |
j-invariant |
L |
1.2476925690736 |
L(r)(E,1)/r! |
Ω |
0.034988933832804 |
Real period |
R |
17.829816922055 |
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 |
73346y1 |
Quadratic twists by: 13 |