Atkin-Lehner |
3+ 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
86925f |
Isogeny class |
Conductor |
86925 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
126346845703125 = 3 · 510 · 19 · 613 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 3 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-724583,-237157807] |
[a1,a2,a3,a4,a6] |
Generators |
[-654027:29606:1331] |
Generators of the group modulo torsion |
j |
4308128906444800/12937917 |
j-invariant |
L |
4.2081750570285 |
L(r)(E,1)/r! |
Ω |
0.16363550754743 |
Real period |
R |
8.5722532925664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86925n2 |
Quadratic twists by: 5 |