Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450ca |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-10387353600000000 = -1 · 218 · 33 · 58 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58130,-7275503] |
[a1,a2,a3,a4,a6] |
Generators |
[589:-13045:1] |
Generators of the group modulo torsion |
j |
-51491303564427/24621875200 |
j-invariant |
L |
10.718181253579 |
L(r)(E,1)/r! |
Ω |
0.15029764753169 |
Real period |
R |
0.99045880698545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450e1 19890a1 |
Quadratic twists by: -3 5 |