Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fa |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-8006259179520 = -1 · 218 · 38 · 5 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4479,-70785] |
[a1,a2,a3,a4,a6] |
Generators |
[69:756:1] |
Generators of the group modulo torsion |
j |
37899197279/30541455 |
j-invariant |
L |
6.6128459889046 |
L(r)(E,1)/r! |
Ω |
0.40970446026528 |
Real period |
R |
1.0087829459601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680q1 31920be1 |
Quadratic twists by: -4 8 |