Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536cd |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23847763968 = 220 · 32 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9633,-360639] |
[a1,a2,a3,a4,a6] |
Generators |
[1368:50445:1] |
Generators of the group modulo torsion |
j |
377149515625/90972 |
j-invariant |
L |
5.0503019767157 |
L(r)(E,1)/r! |
Ω |
0.48190529032386 |
Real period |
R |
5.2399320759912 |
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 |
25536bi2 6384bg2 76608et2 |
Quadratic twists by: -4 8 -3 |