Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
944k |
Isogeny class |
Conductor |
944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-483328 = -1 · 213 · 59 |
Discriminant |
Eigenvalues |
2- -2 -2 3 1 -3 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64,180] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] |
Generators of the group modulo torsion |
j |
-7189057/118 |
j-invariant |
L |
1.7643718251969 |
L(r)(E,1)/r! |
Ω |
2.9562562217319 |
Real period |
R |
0.14920660565775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118c1 3776p1 8496q1 23600w1 |
Quadratic twists by: -4 8 -3 5 |