Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616el |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.5191766513609E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,659589,-197357398] |
[a1,a2,a3,a4,a6] |
Generators |
[600413:18441774:1331] |
Generators of the group modulo torsion |
j |
1843623047/2044416 |
j-invariant |
L |
8.6499892998627 |
L(r)(E,1)/r! |
Ω |
0.11139873424987 |
Real period |
R |
9.706112638083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702bp2 25872bf2 77616fp2 |
Quadratic twists by: -4 -3 -7 |