Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760bo |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-24202800 = -1 · 24 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 5 2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,1051] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:40:1] |
Generators of the group modulo torsion |
j |
-67108864/2075 |
j-invariant |
L |
8.2221590184345 |
L(r)(E,1)/r! |
Ω |
2.1203911391733 |
Real period |
R |
1.9388307341935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14940b1 6640c1 |
Quadratic twists by: -4 -3 |