Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16905h |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2501036575246125 = -1 · 38 · 53 · 78 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19354,2179568] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:1148:1] |
Generators of the group modulo torsion |
j |
6814692748079/21258460125 |
j-invariant |
L |
2.321653969883 |
L(r)(E,1)/r! |
Ω |
0.32293787017615 |
Real period |
R |
1.7972915104511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50715bn2 84525bw2 2415i2 |
Quadratic twists by: -3 5 -7 |