Atkin-Lehner |
2+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89792d |
Isogeny class |
Conductor |
89792 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-6225915805696 = -1 · 223 · 233 · 61 |
Discriminant |
Eigenvalues |
2+ 2 -3 -1 0 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27617,1779809] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:1863:1] [73:384:1] |
Generators of the group modulo torsion |
j |
-8886464607097/23749984 |
j-invariant |
L |
12.338386464387 |
L(r)(E,1)/r! |
Ω |
0.75636557312879 |
Real period |
R |
1.3593940662514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89792k1 2806c1 |
Quadratic twists by: -4 8 |