Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350n |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
5908876891200000000 = 212 · 32 · 58 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-729875,209278125] |
[a1,a2,a3,a4,a6] |
Generators |
[-970:2885:1] |
Generators of the group modulo torsion |
j |
114013572049/15667200 |
j-invariant |
L |
2.8016824960581 |
L(r)(E,1)/r! |
Ω |
0.2303239513934 |
Real period |
R |
3.0410238265742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670bb1 2550k1 |
Quadratic twists by: 5 17 |