Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616dy |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.2044842375712E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,665469,-85849470] |
[a1,a2,a3,a4,a6] |
j |
3436115229/2324168 |
j-invariant |
L |
0.97419702509 |
L(r)(E,1)/r! |
Ω |
0.1217746278081 |
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 |
9702h2 77616di2 11088bd2 |
Quadratic twists by: -4 -3 -7 |