Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450p |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-31768000000000 = -1 · 212 · 59 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7675,-77875] |
[a1,a2,a3,a4,a6] |
j |
25594132123/16265216 |
j-invariant |
L |
3.0222176614077 |
L(r)(E,1)/r! |
Ω |
0.37777720767596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600cn1 94050dz1 10450bg1 114950dk1 |
Quadratic twists by: -4 -3 5 -11 |