Atkin-Lehner |
7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20111c |
Isogeny class |
Conductor |
20111 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2784 |
Modular degree for the optimal curve |
Δ |
-4444531 = -1 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
0 2 1 7- -2 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,35,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[48:331:1] |
Generators of the group modulo torsion |
j |
2097152/2023 |
j-invariant |
L |
6.5597937841468 |
L(r)(E,1)/r! |
Ω |
1.3380071363209 |
Real period |
R |
1.2256649471587 |
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 |
20111a1 |
Quadratic twists by: 13 |