Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616y |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
269998559373312 = 211 · 33 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40131,-2991646] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:132:1] |
Generators of the group modulo torsion |
j |
3203226/121 |
j-invariant |
L |
4.7433369265331 |
L(r)(E,1)/r! |
Ω |
0.33809464525943 |
Real period |
R |
1.7537015862075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808g2 77616k2 77616x2 |
Quadratic twists by: -4 -3 -7 |