Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14450b |
Isogeny class |
Conductor |
14450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-35278320312500 = -1 · 22 · 515 · 172 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7499,-137852] |
[a1,a2,a3,a4,a6] |
Generators |
[1299:14962:27] |
Generators of the group modulo torsion |
j |
10329972191/7812500 |
j-invariant |
L |
3.9336813381308 |
L(r)(E,1)/r! |
Ω |
0.36467120826985 |
Real period |
R |
1.3483657500663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600bn2 2890p2 14450h2 |
Quadratic twists by: -4 5 17 |