Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800h |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
1641354692000000 = 28 · 56 · 177 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31308,853888] |
[a1,a2,a3,a4,a6] |
Generators |
[19:516:1] |
Generators of the group modulo torsion |
j |
35152/17 |
j-invariant |
L |
4.3552334777581 |
L(r)(E,1)/r! |
Ω |
0.42161578566224 |
Real period |
R |
5.1649317052799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115600g1 2312c1 3400c1 |
Quadratic twists by: -4 5 17 |