Atkin-Lehner |
3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319w |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-2917424554209 = -1 · 314 · 112 · 712 |
Discriminant |
Eigenvalues |
-1 3- 3 2 11- 1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10616,431588] |
[a1,a2,a3,a4,a6] |
j |
-1499875426753/33074001 |
j-invariant |
L |
3.2111638202146 |
L(r)(E,1)/r! |
Ω |
0.80279096659086 |
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 |
25773s1 77319v1 |
Quadratic twists by: -3 -11 |