Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084b |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
2206906430094288 = 24 · 32 · 133 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216557,38795178] |
[a1,a2,a3,a4,a6] |
j |
2908230909952/5714397 |
j-invariant |
L |
0.92567154428408 |
L(r)(E,1)/r! |
Ω |
0.46283577225522 |
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 |
2652e1 |
Quadratic twists by: 17 |