Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4950m |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-9702990000000 = -1 · 27 · 36 · 57 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11+ -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19917,-1087259] |
[a1,a2,a3,a4,a6] |
j |
-76711450249/851840 |
j-invariant |
L |
0.40161063780401 |
L(r)(E,1)/r! |
Ω |
0.20080531890201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39600ef1 550i1 990l1 54450gk1 |
Quadratic twists by: -4 -3 5 -11 |