Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536bo |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19611648 = 214 · 32 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2833,-58993] |
[a1,a2,a3,a4,a6] |
Generators |
[424962:10224773:729] |
Generators of the group modulo torsion |
j |
153531250000/1197 |
j-invariant |
L |
7.0766833093227 |
L(r)(E,1)/r! |
Ω |
0.65437295242253 |
Real period |
R |
10.814449593499 |
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 |
25536bw2 3192e2 76608cd2 |
Quadratic twists by: -4 8 -3 |