Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616n |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1673018468352 = 211 · 39 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7371,-235494] |
[a1,a2,a3,a4,a6] |
j |
3203226/121 |
j-invariant |
L |
2.0657924338297 |
L(r)(E,1)/r! |
Ω |
0.5164481013202 |
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 |
38808bx2 77616x2 77616k2 |
Quadratic twists by: -4 -3 -7 |