Atkin-Lehner |
2- 3- 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21090p |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-230977680000 = -1 · 27 · 3 · 54 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1170,-17148] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1058:1] |
Generators of the group modulo torsion |
j |
177116123227679/230977680000 |
j-invariant |
L |
9.540894979666 |
L(r)(E,1)/r! |
Ω |
0.52969520807791 |
Real period |
R |
0.21442913086455 |
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 |
63270f1 105450c1 |
Quadratic twists by: -3 5 |