Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33516q |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1871775827712 = 28 · 310 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3927,68110] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:378:1] [-13:342:1] |
Generators of the group modulo torsion |
j |
104627248/29241 |
j-invariant |
L |
6.9923089720892 |
L(r)(E,1)/r! |
Ω |
0.77655653227527 |
Real period |
R |
0.75035414695893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172r2 33516y2 |
Quadratic twists by: -3 -7 |