Atkin-Lehner |
2- 3- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
79050cf |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-7653645703125000 = -1 · 23 · 37 · 511 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17187,-4117383] |
[a1,a2,a3,a4,a6] |
Generators |
[312:-5781:1] |
Generators of the group modulo torsion |
j |
35933733098999/489833325000 |
j-invariant |
L |
13.754098035651 |
L(r)(E,1)/r! |
Ω |
0.20420679464988 |
Real period |
R |
0.40091531382122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810b1 |
Quadratic twists by: 5 |