Atkin-Lehner |
3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
49959j |
Isogeny class |
Conductor |
49959 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-127133167371808689 = -1 · 38 · 72 · 134 · 614 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96741,20722522] |
[a1,a2,a3,a4,a6] |
Generators |
[3246:53887:8] |
Generators of the group modulo torsion |
j |
-137350557323428177/174393919577241 |
j-invariant |
L |
8.0357639507123 |
L(r)(E,1)/r! |
Ω |
0.2979467933527 |
Real period |
R |
1.6856541440392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16653g4 |
Quadratic twists by: -3 |