Atkin-Lehner |
2- 3- 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28290x |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
65 |
Product of Tamagawa factors cp |
deg |
27040 |
Modular degree for the optimal curve |
Δ |
-9385943040 = -1 · 213 · 35 · 5 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 -4 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,515,1265] |
[a1,a2,a3,a4,a6] |
Generators |
[2:47:1] |
Generators of the group modulo torsion |
j |
15104024886959/9385943040 |
j-invariant |
L |
10.578834655481 |
L(r)(E,1)/r! |
Ω |
0.8017599046802 |
Real period |
R |
0.20299256852578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84870e1 |
Quadratic twists by: -3 |