Atkin-Lehner |
3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20691l |
Isogeny class |
Conductor |
20691 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-350277939 = -1 · 36 · 113 · 192 |
Discriminant |
Eigenvalues |
2 3- 3 -2 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,99,-817] |
[a1,a2,a3,a4,a6] |
Generators |
[194:1003:8] |
Generators of the group modulo torsion |
j |
110592/361 |
j-invariant |
L |
11.658020578573 |
L(r)(E,1)/r! |
Ω |
0.87027137348352 |
Real period |
R |
3.3489612935067 |
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 |
2299b1 20691j1 |
Quadratic twists by: -3 -11 |