Atkin-Lehner |
2- 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896m |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12552266065314816 = 210 · 34 · 736 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129672,-17102340] |
[a1,a2,a3,a4,a6] |
Generators |
[10782:1118880:1] [-23895:101844:125] |
Generators of the group modulo torsion |
j |
1556068/81 |
j-invariant |
L |
11.58757215682 |
L(r)(E,1)/r! |
Ω |
0.25240106532976 |
Real period |
R |
45.909363140679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999926661 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24a2 |
Quadratic twists by: 73 |