Atkin-Lehner |
3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20535a |
Isogeny class |
Conductor |
20535 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-552230544452774445 = -1 · 316 · 5 · 376 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-150618,-42306363] |
[a1,a2,a3,a4,a6] |
Generators |
[8874240918857343393870:-3741135471147177786430077:50051666422477000] |
Generators of the group modulo torsion |
j |
-147281603041/215233605 |
j-invariant |
L |
3.8369157426523 |
L(r)(E,1)/r! |
Ω |
0.11512886088814 |
Real period |
R |
33.327140675701 |
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 |
61605k7 102675s7 15a6 |
Quadratic twists by: -3 5 37 |