Atkin-Lehner |
2+ 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36550n |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
206400 |
Modular degree for the optimal curve |
Δ |
451554281996000 = 25 · 53 · 175 · 433 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 -6 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20966,563928] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:1241:1] [-32:-1081:1] |
Generators of the group modulo torsion |
j |
8153248260148109/3612434255968 |
j-invariant |
L |
4.1184625555328 |
L(r)(E,1)/r! |
Ω |
0.47447102619395 |
Real period |
R |
0.28933713041587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36550ba1 |
Quadratic twists by: 5 |