Atkin-Lehner |
3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475bi |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-4.7134100165354E+21 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -3 -5 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1758492,3423343041] |
[a1,a2,a3,a4,a6] |
Generators |
[50944:11469153:1] |
Generators of the group modulo torsion |
j |
-422364564249389/3310378502697 |
j-invariant |
L |
3.9736333621036 |
L(r)(E,1)/r! |
Ω |
0.11769720244514 |
Real period |
R |
8.4403734132638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27825x1 83475bq1 |
Quadratic twists by: -3 5 |