Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288y |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-11724790431744 = -1 · 219 · 33 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 0 13- 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5643,231866] |
[a1,a2,a3,a4,a6] |
Generators |
[101:-832:1] |
Generators of the group modulo torsion |
j |
-179692582707/106018432 |
j-invariant |
L |
6.0709909964039 |
L(r)(E,1)/r! |
Ω |
0.66289443156173 |
Real period |
R |
0.28619710711666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6786i1 54288bb1 |
Quadratic twists by: -4 -3 |