Atkin-Lehner |
2+ 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46920b |
Isogeny class |
Conductor |
46920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
161874000 = 24 · 32 · 53 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-731,-7344] |
[a1,a2,a3,a4,a6] |
j |
2703646050304/10117125 |
j-invariant |
L |
1.8365317828154 |
L(r)(E,1)/r! |
Ω |
0.91826589138924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93840u1 |
Quadratic twists by: -4 |