Atkin-Lehner |
2- 3+ 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91494q |
Isogeny class |
Conductor |
91494 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-4328506480896 = -1 · 28 · 39 · 133 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 -5 -2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-215354,38519929] |
[a1,a2,a3,a4,a6] |
Generators |
[217:-1513:1] |
Generators of the group modulo torsion |
j |
-56116342522641051/219910912 |
j-invariant |
L |
4.8971477874655 |
L(r)(E,1)/r! |
Ω |
0.68277903158005 |
Real period |
R |
0.14942449514359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91494e1 |
Quadratic twists by: -3 |