Atkin-Lehner |
3- 5- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
59085i |
Isogeny class |
Conductor |
59085 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-3470635936142578125 = -1 · 36 · 510 · 136 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1282457,566461414] |
[a1,a2,a3,a4,a6] |
Generators |
[592:-4099:1] |
Generators of the group modulo torsion |
j |
-319981082674155393609/4760817470703125 |
j-invariant |
L |
4.2628938900385 |
L(r)(E,1)/r! |
Ω |
0.25100708522619 |
Real period |
R |
0.28305269325726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6565c2 |
Quadratic twists by: -3 |