Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150bi |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
26018465625000 = 23 · 311 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 4 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11367,399541] |
[a1,a2,a3,a4,a6] |
j |
570420625/91368 |
j-invariant |
L |
1.2802517251518 |
L(r)(E,1)/r! |
Ω |
0.64012586257592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050y1 21150bx1 |
Quadratic twists by: -3 5 |