Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fu |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-19043163697840128 = -1 · 218 · 36 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-205947,-36580950] |
[a1,a2,a3,a4,a6] |
j |
-2749884201/54208 |
j-invariant |
L |
0.89539221591944 |
L(r)(E,1)/r! |
Ω |
0.1119240232899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702cg1 8624x1 11088bu1 |
Quadratic twists by: -4 -3 -7 |