Atkin-Lehner |
2- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
12104a |
Isogeny class |
Conductor |
12104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
137888768 = 210 · 17 · 892 |
Discriminant |
Eigenvalues |
2- 2 0 4 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44888,-3645604] |
[a1,a2,a3,a4,a6] |
Generators |
[63553459143636:3461929194261511:21300003648] |
Generators of the group modulo torsion |
j |
9768417154118500/134657 |
j-invariant |
L |
7.101511358954 |
L(r)(E,1)/r! |
Ω |
0.3279942157199 |
Real period |
R |
21.651331086334 |
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 |
24208a1 96832c1 108936i1 |
Quadratic twists by: -4 8 -3 |