Atkin-Lehner |
2- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680bg |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-120844684400 = -1 · 24 · 52 · 113 · 613 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-450,17275] |
[a1,a2,a3,a4,a6] |
Generators |
[225:3355:1] |
Generators of the group modulo torsion |
j |
-631256717056/7552792775 |
j-invariant |
L |
5.3416469347873 |
L(r)(E,1)/r! |
Ω |
0.88975871590885 |
Real period |
R |
0.33352655920854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13420g2 |
Quadratic twists by: -4 |