Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928bw |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52489083338883072 = 224 · 312 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1366860,-614984848] |
[a1,a2,a3,a4,a6] |
Generators |
[149178:10816768:27] |
Generators of the group modulo torsion |
j |
1477843225692625/274663872 |
j-invariant |
L |
6.8437216027184 |
L(r)(E,1)/r! |
Ω |
0.13962828043235 |
Real period |
R |
6.1267330132708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928df2 3654m2 38976j2 |
Quadratic twists by: -4 8 -3 |