Atkin-Lehner |
2+ 3+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21090b |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-2313876653820 = -1 · 22 · 32 · 5 · 193 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2023,-81983] |
[a1,a2,a3,a4,a6] |
j |
-916319127677689/2313876653820 |
j-invariant |
L |
1.9882741869264 |
L(r)(E,1)/r! |
Ω |
0.3313790311544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63270bd1 105450cj1 |
Quadratic twists by: -3 5 |