Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109956o |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-50688836352 = -1 · 28 · 32 · 76 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,523,9633] |
[a1,a2,a3,a4,a6] |
j |
524288/1683 |
j-invariant |
L |
1.59143143226 |
L(r)(E,1)/r! |
Ω |
0.79571580030791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2244c1 |
Quadratic twists by: -7 |