Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600j |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
474351505988000000 = 28 · 56 · 179 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-204708,13078588] |
[a1,a2,a3,a4,a6] |
Generators |
[-136654:1926784:343] |
Generators of the group modulo torsion |
j |
2000 |
j-invariant |
L |
5.0749898949271 |
L(r)(E,1)/r! |
Ω |
0.26167527733311 |
Real period |
R |
9.6971138109502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57800v1 4624b1 115600h1 |
Quadratic twists by: -4 5 17 |