Atkin-Lehner |
2- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45632r |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
11681792 = 214 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-956,11376] |
[a1,a2,a3,a4,a6] |
Generators |
[20:16:1] |
Generators of the group modulo torsion |
j |
5897629008/713 |
j-invariant |
L |
3.0742230350274 |
L(r)(E,1)/r! |
Ω |
2.176588285158 |
Real period |
R |
1.412404475385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632f1 11408a1 |
Quadratic twists by: -4 8 |