Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
120900bc |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
32544 |
Modular degree for the optimal curve |
Δ |
-36270000 = -1 · 24 · 32 · 54 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -5 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,288] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-15:1] |
Generators of the group modulo torsion |
j |
-409600/3627 |
j-invariant |
L |
7.930358464076 |
L(r)(E,1)/r! |
Ω |
1.7607154198572 |
Real period |
R |
0.25022525817699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120900b1 |
Quadratic twists by: 5 |