Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
21200t |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-27136000000 = -1 · 215 · 56 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 3 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392,-7212] |
[a1,a2,a3,a4,a6] |
Generators |
[22:112:1] |
Generators of the group modulo torsion |
j |
103823/424 |
j-invariant |
L |
4.1622442321165 |
L(r)(E,1)/r! |
Ω |
0.60076886839088 |
Real period |
R |
1.73204890063 |
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 |
2650c1 84800bq1 848c1 |
Quadratic twists by: -4 8 5 |