Atkin-Lehner |
3+ 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
100425d |
Isogeny class |
Conductor |
100425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-204552191162109375 = -1 · 35 · 514 · 13 · 1032 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 4 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-534813,-152327094] |
[a1,a2,a3,a4,a6] |
j |
-1082703655153741321/13091340234375 |
j-invariant |
L |
1.5877377805069 |
L(r)(E,1)/r! |
Ω |
0.088207675590036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20085f1 |
Quadratic twists by: 5 |