Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286k |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1091328 |
Modular degree for the optimal curve |
Δ |
-9.8077946188009E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 0 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4603296,2871489536] |
[a1,a2,a3,a4,a6] |
Generators |
[-27643905:3480209279:91125] |
Generators of the group modulo torsion |
j |
13581780628779/12348030976 |
j-invariant |
L |
4.2137349138135 |
L(r)(E,1)/r! |
Ω |
0.084315807754968 |
Real period |
R |
12.49390543129 |
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 |
20286bn1 20286l1 |
Quadratic twists by: -3 -7 |