Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20102k |
Isogeny class |
Conductor |
20102 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
164675584 = 214 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ -1 1 -4 0 -6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-827,8797] |
[a1,a2,a3,a4,a6] |
Generators |
[6:61:1] |
Generators of the group modulo torsion |
j |
118469034409/311296 |
j-invariant |
L |
1.9373942648789 |
L(r)(E,1)/r! |
Ω |
1.820374740924 |
Real period |
R |
0.53214160285907 |
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 |
20102f1 |
Quadratic twists by: -23 |