Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36900q |
Isogeny class |
Conductor |
36900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-80700300000000 = -1 · 28 · 39 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 1 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75000,-7917500] |
[a1,a2,a3,a4,a6] |
j |
-640000000/1107 |
j-invariant |
L |
1.7307744157745 |
L(r)(E,1)/r! |
Ω |
0.14423120131573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12300q1 36900e1 |
Quadratic twists by: -3 5 |