Atkin-Lehner |
3- 5- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205bg |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3196591239944025 = 38 · 52 · 76 · 112 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40374,-1523057] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:1319:1] |
Generators of the group modulo torsion |
j |
9984068926056289/4384898820225 |
j-invariant |
L |
7.773361045139 |
L(r)(E,1)/r! |
Ω |
0.35067601630807 |
Real period |
R |
1.8472323427983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000122371 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42735c2 |
Quadratic twists by: -3 |