Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19040n |
Isogeny class |
Conductor |
19040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
13061440 = 26 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97,324] |
[a1,a2,a3,a4,a6] |
Generators |
[0:18:1] |
Generators of the group modulo torsion |
j |
1577098944/204085 |
j-invariant |
L |
4.9769571571083 |
L(r)(E,1)/r! |
Ω |
2.1603337498962 |
Real period |
R |
2.3037908644196 |
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 |
19040e1 38080a2 95200i1 |
Quadratic twists by: -4 8 5 |