Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20460i |
Isogeny class |
Conductor |
20460 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2027649937500000000 = 28 · 32 · 512 · 112 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1372676,-615668460] |
[a1,a2,a3,a4,a6] |
Generators |
[-89905:31878:125] |
Generators of the group modulo torsion |
j |
1117347302108443814224/7920507568359375 |
j-invariant |
L |
6.2952523738841 |
L(r)(E,1)/r! |
Ω |
0.13953818409301 |
Real period |
R |
7.5191513763811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840bn4 61380o4 102300j4 |
Quadratic twists by: -4 -3 5 |