Atkin-Lehner |
2- 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
51264bg |
Isogeny class |
Conductor |
51264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-9081263808 = -1 · 26 · 313 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,330,-3962] |
[a1,a2,a3,a4,a6] |
Generators |
[17:81:1] [113:1215:1] |
Generators of the group modulo torsion |
j |
85184000/194643 |
j-invariant |
L |
9.5199321837276 |
L(r)(E,1)/r! |
Ω |
0.67334249509356 |
Real period |
R |
3.5345801925084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51264bf1 25632e1 17088k1 |
Quadratic twists by: -4 8 -3 |