Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9744r |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
471744 |
Modular degree for the optimal curve |
Δ |
-5.3603575727913E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -3 -1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2691856,3086110932] |
[a1,a2,a3,a4,a6] |
j |
526646344431378309263/1308681048044740608 |
j-invariant |
L |
1.7071025870575 |
L(r)(E,1)/r! |
Ω |
0.094839032614303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1218d1 38976bm1 29232bv1 68208bk1 |
Quadratic twists by: -4 8 -3 -7 |