Atkin-Lehner |
3- 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025bh |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-13436940455859375 = -1 · 33 · 58 · 78 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,57687,1636992] |
[a1,a2,a3,a4,a6] |
Generators |
[21:1680:1] |
Generators of the group modulo torsion |
j |
1358742243975479/859964189175 |
j-invariant |
L |
5.7178111943148 |
L(r)(E,1)/r! |
Ω |
0.24713789531332 |
Real period |
R |
1.9280097231783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23205g1 |
Quadratic twists by: 5 |