Atkin-Lehner |
3+ 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
20445d |
Isogeny class |
Conductor |
20445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
5336145 = 33 · 5 · 292 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122,-561] |
[a1,a2,a3,a4,a6] |
Generators |
[1670:1717:125] |
Generators of the group modulo torsion |
j |
203401212841/5336145 |
j-invariant |
L |
4.470910975521 |
L(r)(E,1)/r! |
Ω |
1.4372831216285 |
Real period |
R |
6.2213365039107 |
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 |
61335g1 102225o1 |
Quadratic twists by: -3 5 |