Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450k |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3834187500 = 22 · 3 · 56 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1525,-23375] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:23:1] |
Generators of the group modulo torsion |
j |
25128011089/245388 |
j-invariant |
L |
3.6061692741279 |
L(r)(E,1)/r! |
Ω |
0.76436549395954 |
Real period |
R |
1.1794649623204 |
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 |
64350dz2 858m2 |
Quadratic twists by: -3 5 |