Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17200a |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-795070000000000 = -1 · 210 · 510 · 433 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -1 -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81875,-9118750] |
[a1,a2,a3,a4,a6] |
Generators |
[36903:1331576:27] |
Generators of the group modulo torsion |
j |
-6069845700/79507 |
j-invariant |
L |
4.7897782467792 |
L(r)(E,1)/r! |
Ω |
0.14100782209641 |
Real period |
R |
8.4920435185227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8600h1 68800df1 17200h1 |
Quadratic twists by: -4 8 5 |