Atkin-Lehner |
2- 3- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
50904g |
Isogeny class |
Conductor |
50904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
273600 |
Modular degree for the optimal curve |
Δ |
-316795546368 = -1 · 28 · 36 · 75 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716295,233338282] |
[a1,a2,a3,a4,a6] |
Generators |
[489:14:1] |
Generators of the group modulo torsion |
j |
-217787012453554000/1697507 |
j-invariant |
L |
4.7898705957831 |
L(r)(E,1)/r! |
Ω |
0.66804679259574 |
Real period |
R |
1.7924906791265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101808k1 5656a1 |
Quadratic twists by: -4 -3 |