Atkin-Lehner |
3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20691c |
Isogeny class |
Conductor |
20691 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
171072 |
Modular degree for the optimal curve |
Δ |
-881818203637107 = -1 · 39 · 119 · 19 |
Discriminant |
Eigenvalues |
2 3+ 0 2 11+ 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-179685,-29351545] |
[a1,a2,a3,a4,a6] |
Generators |
[824373096394014:37440774252834323:382973508728] |
Generators of the group modulo torsion |
j |
-13824000/19 |
j-invariant |
L |
11.090128320247 |
L(r)(E,1)/r! |
Ω |
0.11593266516255 |
Real period |
R |
23.9150206387 |
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 |
20691d1 20691h1 |
Quadratic twists by: -3 -11 |