Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550dz |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-1631327040000000 = -1 · 212 · 39 · 57 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5395,-1938603] |
[a1,a2,a3,a4,a6] |
Generators |
[239:-3720:1] |
Generators of the group modulo torsion |
j |
1524845951/143216640 |
j-invariant |
L |
11.401539625695 |
L(r)(E,1)/r! |
Ω |
0.22515000285594 |
Real period |
R |
1.0549947639803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850b1 23310ba1 |
Quadratic twists by: -3 5 |