Atkin-Lehner |
7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3311c |
Isogeny class |
Conductor |
3311 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
55647977 = 76 · 11 · 43 |
Discriminant |
Eigenvalues |
1 2 0 7- 11+ 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2515,-49608] |
[a1,a2,a3,a4,a6] |
Generators |
[12498:5119:216] |
Generators of the group modulo torsion |
j |
1760384222493625/55647977 |
j-invariant |
L |
5.5186672410541 |
L(r)(E,1)/r! |
Ω |
0.67412960315057 |
Real period |
R |
5.4575729605132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52976s2 29799i2 82775b2 23177c2 |
Quadratic twists by: -4 -3 5 -7 |