Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152u |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
3272165847549648 = 24 · 322 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39234,-1171613] |
[a1,a2,a3,a4,a6] |
Generators |
[219:860:1] |
Generators of the group modulo torsion |
j |
572616640141312/280535480757 |
j-invariant |
L |
6.1555528256885 |
L(r)(E,1)/r! |
Ω |
0.35651442313212 |
Real period |
R |
5.7553097680308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9576v1 76608fu1 6384n1 |
Quadratic twists by: -4 8 -3 |