Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ij |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
20 |
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 |
[79:576:1] |
Generators of the group modulo torsion |
j |
352224985/33048 |
j-invariant |
L |
9.976483899756 |
L(r)(E,1)/r! |
Ω |
0.97080466165925 |
Real period |
R |
0.51382550455791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600r1 20400cb1 81600hs1 |
Quadratic twists by: -4 8 5 |