Atkin-Lehner |
2- 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36550bf |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-47698321093750 = -1 · 2 · 58 · 175 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- -1 -3 -4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-706930,-228600553] |
[a1,a2,a3,a4,a6] |
Generators |
[72116:1251235:64] |
Generators of the group modulo torsion |
j |
-100021263902725905/122107702 |
j-invariant |
L |
7.094659251092 |
L(r)(E,1)/r! |
Ω |
0.082323811988615 |
Real period |
R |
5.7453277731046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36550a1 |
Quadratic twists by: 5 |