Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824p |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
139392 |
Modular degree for the optimal curve |
Δ |
-8791672536170496 = -1 · 223 · 36 · 7 · 593 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4248,-4511376] |
[a1,a2,a3,a4,a6] |
j |
2069259936407/2146404427776 |
j-invariant |
L |
1.5356077589499 |
L(r)(E,1)/r! |
Ω |
0.19195096986873 |
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 |
2478c1 79296ce1 59472bg1 |
Quadratic twists by: -4 8 -3 |