Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45632k |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-186908672 = -1 · 218 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ -1 0 -3 4 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,673] |
[a1,a2,a3,a4,a6] |
Generators |
[9:32:1] |
Generators of the group modulo torsion |
j |
-15625/713 |
j-invariant |
L |
4.1145237250411 |
L(r)(E,1)/r! |
Ω |
1.4905636743352 |
Real period |
R |
0.69009526327021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45632o1 713a1 |
Quadratic twists by: -4 8 |