Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150bu |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
25380000 = 25 · 33 · 54 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80,147] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:15:1] |
Generators of the group modulo torsion |
j |
3316275/1504 |
j-invariant |
L |
7.5131441588553 |
L(r)(E,1)/r! |
Ω |
1.9022635091177 |
Real period |
R |
0.13165270606734 |
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 |
21150k1 21150f1 |
Quadratic twists by: -3 5 |