Atkin-Lehner |
3- 5- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
24495i |
Isogeny class |
Conductor |
24495 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16256 |
Modular degree for the optimal curve |
Δ |
-894091995 = -1 · 32 · 5 · 234 · 71 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -6 7 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-355,-3071] |
[a1,a2,a3,a4,a6] |
j |
-4961712111616/894091995 |
j-invariant |
L |
2.177880661628 |
L(r)(E,1)/r! |
Ω |
0.54447016540703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73485d1 122475h1 |
Quadratic twists by: -3 5 |