Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dw |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-15021424320 = -1 · 26 · 3 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,219,5691] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:49:1] |
Generators of the group modulo torsion |
j |
18067226624/234709755 |
j-invariant |
L |
3.5881318279716 |
L(r)(E,1)/r! |
Ω |
0.92177156878288 |
Real period |
R |
0.55609250639748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680ch1 31920cd1 |
Quadratic twists by: -4 8 |