Atkin-Lehner |
3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405a |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196224 |
Modular degree for the optimal curve |
Δ |
-6541175574675 = -1 · 33 · 52 · 78 · 412 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 4 -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3087,103843] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:2251:8] |
Generators of the group modulo torsion |
j |
20901888/42025 |
j-invariant |
L |
12.655241695461 |
L(r)(E,1)/r! |
Ω |
0.51888374986048 |
Real period |
R |
3.0486697870246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405e1 90405h1 |
Quadratic twists by: -3 -7 |