Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405bq |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-150766119952875 = -1 · 36 · 53 · 79 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 2 2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-59682,5642950] |
[a1,a2,a3,a4,a6] |
Generators |
[98:857:1] |
Generators of the group modulo torsion |
j |
-799178752/5125 |
j-invariant |
L |
6.073125279248 |
L(r)(E,1)/r! |
Ω |
0.58129261257268 |
Real period |
R |
0.87063513751757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10045c1 90405m1 |
Quadratic twists by: -3 -7 |