Atkin-Lehner |
2+ 3- 43- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
62952a |
Isogeny class |
Conductor |
62952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-1039463424 = -1 · 210 · 32 · 432 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 -1 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1384,19424] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-12:1] |
Generators of the group modulo torsion |
j |
-286513958308/1015101 |
j-invariant |
L |
11.248863577559 |
L(r)(E,1)/r! |
Ω |
1.5634043380356 |
Real period |
R |
0.89938854141252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125904a1 |
Quadratic twists by: -4 |