Atkin-Lehner |
2- 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100572a |
Isogeny class |
Conductor |
100572 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-3173247744 = -1 · 28 · 3 · 173 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 -3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181,2929] |
[a1,a2,a3,a4,a6] |
Generators |
[15:58:1] [23:102:1] |
Generators of the group modulo torsion |
j |
-524288/2523 |
j-invariant |
L |
9.4584225620444 |
L(r)(E,1)/r! |
Ω |
1.2313282797715 |
Real period |
R |
0.64012326619192 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100572j1 |
Quadratic twists by: 17 |