Atkin-Lehner |
2- 3- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47472j |
Isogeny class |
Conductor |
47472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-2576011493376 = -1 · 222 · 33 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 5 5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-935912,-348810444] |
[a1,a2,a3,a4,a6] |
Generators |
[7027:583188:1] |
Generators of the group modulo torsion |
j |
-22134477536965464553/628909056 |
j-invariant |
L |
6.1095631544053 |
L(r)(E,1)/r! |
Ω |
0.076746886466566 |
Real period |
R |
6.6338881784747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5934c1 |
Quadratic twists by: -4 |