Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824n |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-26028784063615536 = -1 · 24 · 314 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1750309,-890743016] |
[a1,a2,a3,a4,a6] |
j |
-37063647376498477760512/1626799003975971 |
j-invariant |
L |
1.6407020541853 |
L(r)(E,1)/r! |
Ω |
0.06562808216741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4956d1 79296cd1 59472bd1 |
Quadratic twists by: -4 8 -3 |