Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778m |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
679218234753356676 = 22 · 38 · 74 · 476 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-229782,-15100209] |
[a1,a2,a3,a4,a6] |
Generators |
[212220024701515:4374036589036307:276021610831] |
Generators of the group modulo torsion |
j |
124475734657/63011844 |
j-invariant |
L |
10.088918110151 |
L(r)(E,1)/r! |
Ω |
0.23002716197569 |
Real period |
R |
21.929840828334 |
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 |
42a3 |
Quadratic twists by: -47 |