Atkin-Lehner |
2+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
27650k |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-3319382500 = -1 · 22 · 54 · 75 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -2 0 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-176,2898] |
[a1,a2,a3,a4,a6] |
Generators |
[3:47:1] [-13:61:1] |
Generators of the group modulo torsion |
j |
-956818825/5311012 |
j-invariant |
L |
4.4653072463904 |
L(r)(E,1)/r! |
Ω |
1.2221720156051 |
Real period |
R |
0.12178610946678 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27650u1 |
Quadratic twists by: 5 |