Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600o |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
64172851200000000 = 230 · 32 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161633,21895137] |
[a1,a2,a3,a4,a6] |
Generators |
[8:4539:1] |
Generators of the group modulo torsion |
j |
114013572049/15667200 |
j-invariant |
L |
7.3241749206282 |
L(r)(E,1)/r! |
Ω |
0.33575197020139 |
Real period |
R |
5.4535606423015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600ii1 2550k1 16320bn1 |
Quadratic twists by: -4 8 5 |