Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536ce |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1916698447577088 = 218 · 310 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123233,-16476159] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:252:1] |
Generators of the group modulo torsion |
j |
789529529265625/7311624327 |
j-invariant |
L |
4.4640786837993 |
L(r)(E,1)/r! |
Ω |
0.2549530701316 |
Real period |
R |
2.91823555442 |
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 |
25536bg2 6384be2 76608eq2 |
Quadratic twists by: -4 8 -3 |