Atkin-Lehner |
2- 3+ 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21090i |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-187279200000 = -1 · 28 · 32 · 55 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,645,-19575] |
[a1,a2,a3,a4,a6] |
Generators |
[43:278:1] |
Generators of the group modulo torsion |
j |
29672953264079/187279200000 |
j-invariant |
L |
7.5250153777673 |
L(r)(E,1)/r! |
Ω |
0.5044440368643 |
Real period |
R |
0.3729360854647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63270l1 105450be1 |
Quadratic twists by: -3 5 |