Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40572x |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-2.6832188890665E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211015560,1179857407988] |
[a1,a2,a3,a4,a6] |
Generators |
[8197:30429:1] |
Generators of the group modulo torsion |
j |
-47327266415721472000/1222082060283 |
j-invariant |
L |
4.9606177856416 |
L(r)(E,1)/r! |
Ω |
0.11015000324105 |
Real period |
R |
1.8764630200035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524e1 5796h1 |
Quadratic twists by: -3 -7 |