Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376ce |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-1457630947454976 = -1 · 212 · 32 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -4 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,915,-1836549] |
[a1,a2,a3,a4,a6] |
Generators |
[618817:2658468:4913] |
Generators of the group modulo torsion |
j |
3584/61731 |
j-invariant |
L |
8.8343991421717 |
L(r)(E,1)/r! |
Ω |
0.22082989290882 |
Real period |
R |
10.001362391174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376bf1 89376bv1 |
Quadratic twists by: -4 -7 |