Atkin-Lehner |
3- 7- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85491m |
Isogeny class |
Conductor |
85491 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-25739373807 = -1 · 38 · 72 · 23 · 592 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-320,8106] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:102:1] |
Generators of the group modulo torsion |
j |
-4956477625/35307783 |
j-invariant |
L |
4.0213589167316 |
L(r)(E,1)/r! |
Ω |
1.0240341452712 |
Real period |
R |
0.98174434276525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28497c1 |
Quadratic twists by: -3 |