Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616o |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
306316178039808 = 210 · 36 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21675,-894166] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:578:1] [331:5310:1] |
Generators of the group modulo torsion |
j |
62500/17 |
j-invariant |
L |
8.9827305934787 |
L(r)(E,1)/r! |
Ω |
0.40149694203444 |
Real period |
R |
2.7966373006363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20808h1 4624a1 2448f1 |
Quadratic twists by: -4 -3 17 |