Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450q |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-5057797797195000 = -1 · 23 · 3 · 54 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-64500,-7200600] |
[a1,a2,a3,a4,a6] |
Generators |
[845:22870:1] |
Generators of the group modulo torsion |
j |
-47482476212808025/8092476475512 |
j-invariant |
L |
3.539632067261 |
L(r)(E,1)/r! |
Ω |
0.14840601355389 |
Real period |
R |
0.79503338678742 |
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 |
64350ew1 21450cr2 |
Quadratic twists by: -3 5 |