Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450ch |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-45679920000000000 = -1 · 213 · 3 · 510 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,89362,-138108] |
[a1,a2,a3,a4,a6] |
j |
8081314441175/4677623808 |
j-invariant |
L |
5.5657621071466 |
L(r)(E,1)/r! |
Ω |
0.21406777335179 |
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 |
64350bp1 21450m1 |
Quadratic twists by: -3 5 |