Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19836c |
Isogeny class |
Conductor |
19836 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-1953766656 = -1 · 28 · 36 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 2 3 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,153,1998] |
[a1,a2,a3,a4,a6] |
Generators |
[2:361:8] |
Generators of the group modulo torsion |
j |
2122416/10469 |
j-invariant |
L |
6.2094459537528 |
L(r)(E,1)/r! |
Ω |
1.0614936133934 |
Real period |
R |
2.924862606522 |
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 |
79344br1 2204c1 |
Quadratic twists by: -4 -3 |