Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778m |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
684523290252816 = 24 · 34 · 72 · 476 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-185602,-30828289] |
[a1,a2,a3,a4,a6] |
Generators |
[3734611:78565983:4913] |
Generators of the group modulo torsion |
j |
65597103937/63504 |
j-invariant |
L |
10.088918110151 |
L(r)(E,1)/r! |
Ω |
0.23002716197569 |
Real period |
R |
10.964920414167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013392 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42a2 |
Quadratic twists by: -47 |