Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400p |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-3904000000 = -1 · 212 · 56 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 5 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-808,-9612] |
[a1,a2,a3,a4,a6] |
j |
-912673/61 |
j-invariant |
L |
0.89192769488117 |
L(r)(E,1)/r! |
Ω |
0.44596384744057 |
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 |
1525a1 97600cg1 976b1 |
Quadratic twists by: -4 8 5 |