Atkin-Lehner |
2+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81928h |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-3104659773805744 = -1 · 24 · 78 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151867,-22987350] |
[a1,a2,a3,a4,a6] |
Generators |
[793:18865:1] |
Generators of the group modulo torsion |
j |
-205782571927552/1649323291 |
j-invariant |
L |
5.3094740457713 |
L(r)(E,1)/r! |
Ω |
0.12086364001294 |
Real period |
R |
3.6607880656513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11704a1 |
Quadratic twists by: -7 |