Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104ce |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
248371200 |
Modular degree for the optimal curve |
Δ |
-1.1034426418774E+30 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 -6 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-933048291,51716583246562] |
[a1,a2,a3,a4,a6] |
Generators |
[-3000034717:1783496836854:226981] |
Generators of the group modulo torsion |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
4.961531768597 |
L(r)(E,1)/r! |
Ω |
0.023387827649624 |
Real period |
R |
13.258851413057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15138i1 40368bj1 4176bh1 |
Quadratic twists by: -4 -3 29 |