Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600r |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
216583372800 = 221 · 35 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 1 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2753,-49983] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:68:1] |
Generators of the group modulo torsion |
j |
352224985/33048 |
j-invariant |
L |
3.8298278371338 |
L(r)(E,1)/r! |
Ω |
0.66303962028206 |
Real period |
R |
2.8880837007353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600ij1 2550bb1 81600fc1 |
Quadratic twists by: -4 8 5 |