Atkin-Lehner |
3+ 5+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126825d |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
24866514733828125 = 3 · 57 · 19 · 895 |
Discriminant |
Eigenvalues |
2 3+ 5+ -3 2 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-135509008,-607110932457] |
[a1,a2,a3,a4,a6] |
j |
17611980152792960182030336/1591456942965 |
j-invariant |
L |
2.2124684971486 |
L(r)(E,1)/r! |
Ω |
0.044249412904461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25365h2 |
Quadratic twists by: 5 |