Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800d |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
6565418768000000 = 210 · 56 · 177 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60208,-4119588] |
[a1,a2,a3,a4,a6] |
Generators |
[1838628:311621475:64] |
Generators of the group modulo torsion |
j |
62500/17 |
j-invariant |
L |
9.8175334938245 |
L(r)(E,1)/r! |
Ω |
0.31099819401051 |
Real period |
R |
7.8919537822474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115600i1 2312d1 3400e1 |
Quadratic twists by: -4 5 17 |