Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2535a |
Isogeny class |
Conductor |
2535 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-16969250390625 = -1 · 32 · 58 · 136 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5912,-90683] |
[a1,a2,a3,a4,a6] |
Generators |
[44:485:1] |
Generators of the group modulo torsion |
j |
4733169839/3515625 |
j-invariant |
L |
3.1956681160408 |
L(r)(E,1)/r! |
Ω |
0.38845739120777 |
Real period |
R |
2.0566400513741 |
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 |
40560ca5 7605q6 12675x6 124215cv5 |
Quadratic twists by: -4 -3 5 -7 |