Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600bi |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-2388787200 = -1 · 217 · 36 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435,4210] |
[a1,a2,a3,a4,a6] |
Generators |
[9:32:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
3.6792369495851 |
L(r)(E,1)/r! |
Ω |
1.3810380480851 |
Real period |
R |
0.66602744122198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
450d1 14400dy1 400b1 3600bo3 |
Quadratic twists by: -4 8 -3 5 |