Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680bx |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-718200000 = -1 · 26 · 33 · 55 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49,1299] |
[a1,a2,a3,a4,a6] |
j |
199176704/11221875 |
j-invariant |
L |
3.6642820390535 |
L(r)(E,1)/r! |
Ω |
1.2214274558257 |
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 |
127680p1 63840l1 |
Quadratic twists by: -4 8 |