Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bt |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-4.9973328624375E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3213878,-2242771963] |
[a1,a2,a3,a4,a6] |
Generators |
[706484919:82353272839:50653] |
Generators of the group modulo torsion |
j |
-5035982559569706441241/68550519375000000 |
j-invariant |
L |
7.5283756328859 |
L(r)(E,1)/r! |
Ω |
0.056332696389139 |
Real period |
R |
11.136776264641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770i1 |
Quadratic twists by: -3 |