Atkin-Lehner |
2+ 3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21090c |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
deg |
5567616 |
Modular degree for the optimal curve |
Δ |
-3.3116914399287E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,29681936,-61575393664] |
[a1,a2,a3,a4,a6] |
j |
2892014100726425269868681351/3311691439928665023686250 |
j-invariant |
L |
2.3110589932399 |
L(r)(E,1)/r! |
Ω |
0.042797388763701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63270be1 105450bv1 |
Quadratic twists by: -3 5 |