Atkin-Lehner |
3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725r |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5432905426025390625 = -1 · 36 · 516 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 4 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3236105,2244304522] |
[a1,a2,a3,a4,a6] |
j |
-329036324603513409/476962890625 |
j-invariant |
L |
1.9268031931783 |
L(r)(E,1)/r! |
Ω |
0.24085039910213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5525c2 9945h2 |
Quadratic twists by: -3 5 |