Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57800r |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
223224238112000 = 28 · 53 · 178 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -1 -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32753,2176277] |
[a1,a2,a3,a4,a6] |
Generators |
[193:1734:1] |
Generators of the group modulo torsion |
j |
17408 |
j-invariant |
L |
8.3053375566098 |
L(r)(E,1)/r! |
Ω |
0.55098476897107 |
Real period |
R |
0.62806769083348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600bb1 57800bb1 57800o1 |
Quadratic twists by: -4 5 17 |