Atkin-Lehner |
2- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
36050v |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
16960 |
Modular degree for the optimal curve |
Δ |
-20188000 = -1 · 25 · 53 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -5 -3 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1600,25027] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:225:1] [25:1:1] |
Generators of the group modulo torsion |
j |
-3621755704293/161504 |
j-invariant |
L |
11.569719803558 |
L(r)(E,1)/r! |
Ω |
2.033560484733 |
Real period |
R |
0.2844695274721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36050o1 |
Quadratic twists by: 5 |