Atkin-Lehner |
3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
20445f |
Isogeny class |
Conductor |
20445 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
920025 = 33 · 52 · 29 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-765,-8208] |
[a1,a2,a3,a4,a6] |
Generators |
[33:36:1] |
Generators of the group modulo torsion |
j |
49515765633361/920025 |
j-invariant |
L |
4.3035379111712 |
L(r)(E,1)/r! |
Ω |
0.90778232657619 |
Real period |
R |
3.1604771211343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61335c1 102225d1 |
Quadratic twists by: -3 5 |