Atkin-Lehner |
3+ 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20295f |
Isogeny class |
Conductor |
20295 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
2558692125 = 33 · 53 · 11 · 413 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 11+ 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-342,57] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:32:1] |
Generators of the group modulo torsion |
j |
163846914048/94766375 |
j-invariant |
L |
4.6948151106912 |
L(r)(E,1)/r! |
Ω |
1.2232852780706 |
Real period |
R |
1.9189371419951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20295b2 101475g1 |
Quadratic twists by: -3 5 |