Atkin-Lehner |
2+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21350a |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
50236123000000 = 26 · 56 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 1 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9976,174598] |
[a1,a2,a3,a4,a6] |
Generators |
[17:91:1] |
Generators of the group modulo torsion |
j |
7026036894577/3215111872 |
j-invariant |
L |
4.3351759022706 |
L(r)(E,1)/r! |
Ω |
0.56769139174873 |
Real period |
R |
1.9091252594638 |
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 |
854d1 |
Quadratic twists by: 5 |