Atkin-Lehner |
3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110925bc |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
3131723686640625 = 314 · 57 · 172 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-202505,-34921128] |
[a1,a2,a3,a4,a6] |
Generators |
[954:24810:1] |
Generators of the group modulo torsion |
j |
80627166849601/274938705 |
j-invariant |
L |
3.6692940057311 |
L(r)(E,1)/r! |
Ω |
0.22510224877884 |
Real period |
R |
4.0751415089767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998219834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36975g1 22185i1 |
Quadratic twists by: -3 5 |