Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616dm |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-139793288198256 = -1 · 24 · 39 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30429,-2120769] |
[a1,a2,a3,a4,a6] |
Generators |
[2478:123039:1] |
Generators of the group modulo torsion |
j |
-84098304/3773 |
j-invariant |
L |
3.0727704503495 |
L(r)(E,1)/r! |
Ω |
0.18026459376226 |
Real period |
R |
4.2614725162694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404g2 77616dz1 11088z2 |
Quadratic twists by: -4 -3 -7 |