Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600h |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
19652000000 = 28 · 56 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-708,2912] |
[a1,a2,a3,a4,a6] |
Generators |
[12:1376:27] |
Generators of the group modulo torsion |
j |
2000 |
j-invariant |
L |
10.419046486212 |
L(r)(E,1)/r! |
Ω |
1.0789148080572 |
Real period |
R |
4.8284843544183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999475028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57800w1 4624c1 115600j1 |
Quadratic twists by: -4 5 17 |