Atkin-Lehner |
2- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
52256a |
Isogeny class |
Conductor |
52256 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
217021124886032384 = 212 · 236 · 713 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1892636,-1001936320] |
[a1,a2,a3,a4,a6] |
Generators |
[1954:52540:1] |
Generators of the group modulo torsion |
j |
183048027743390997312/52983673067879 |
j-invariant |
L |
2.98414378259 |
L(r)(E,1)/r! |
Ω |
0.12871830860194 |
Real period |
R |
3.8639203893797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52256b2 104512f1 |
Quadratic twists by: -4 8 |