Atkin-Lehner |
3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20535a |
Isogeny class |
Conductor |
20535 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
577288442025 = 32 · 52 · 376 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6873,213408] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:684:1] |
Generators of the group modulo torsion |
j |
13997521/225 |
j-invariant |
L |
3.8369157426523 |
L(r)(E,1)/r! |
Ω |
0.92103088710513 |
Real period |
R |
4.1658925844626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61605k2 102675s2 15a3 |
Quadratic twists by: -3 5 37 |