Atkin-Lehner |
2+ 3+ 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21090a |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
50112 |
Modular degree for the optimal curve |
Δ |
-947152849050 = -1 · 2 · 39 · 52 · 19 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 0 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9528,-365022] |
[a1,a2,a3,a4,a6] |
j |
-95675375569974409/947152849050 |
j-invariant |
L |
1.4487987981991 |
L(r)(E,1)/r! |
Ω |
0.24146646636652 |
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 |
63270bb1 105450ce1 |
Quadratic twists by: -3 5 |