Atkin-Lehner |
2- 3+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58344g |
Isogeny class |
Conductor |
58344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
65461968 = 24 · 32 · 112 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-507,-4212] |
[a1,a2,a3,a4,a6] |
Generators |
[56:374:1] |
Generators of the group modulo torsion |
j |
902576293888/4091373 |
j-invariant |
L |
6.4946702082233 |
L(r)(E,1)/r! |
Ω |
1.0062239842418 |
Real period |
R |
1.613624379309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116688h1 |
Quadratic twists by: -4 |