Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450bf |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
137280000000 = 212 · 3 · 57 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1651,-18802] |
[a1,a2,a3,a4,a6] |
j |
31824875809/8785920 |
j-invariant |
L |
3.0584011495988 |
L(r)(E,1)/r! |
Ω |
0.7646002873997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350dy1 4290t1 |
Quadratic twists by: -3 5 |