Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19836d |
Isogeny class |
Conductor |
19836 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1773801744876239616 = -1 · 28 · 36 · 19 · 298 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 3 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1199712,-509825212] |
[a1,a2,a3,a4,a6] |
Generators |
[2644:121662:1] |
Generators of the group modulo torsion |
j |
-1023262896933044224/9504681846259 |
j-invariant |
L |
5.2525733301188 |
L(r)(E,1)/r! |
Ω |
0.07208745273172 |
Real period |
R |
6.071992109439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79344bs1 2204b1 |
Quadratic twists by: -4 -3 |