Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fs |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-3519857037312 = -1 · 212 · 313 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2877,67970] |
[a1,a2,a3,a4,a6] |
j |
17999471/24057 |
j-invariant |
L |
2.1316922984636 |
L(r)(E,1)/r! |
Ω |
0.53292307908412 |
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 |
4851p1 25872cc1 77616eo1 |
Quadratic twists by: -4 -3 -7 |