Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728df |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-93201518592 = -1 · 212 · 36 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15435,738234] |
[a1,a2,a3,a4,a6] |
Generators |
[63:126:1] |
Generators of the group modulo torsion |
j |
-56723625/13 |
j-invariant |
L |
5.5650189713156 |
L(r)(E,1)/r! |
Ω |
1.0422308769742 |
Real period |
R |
0.4449605086595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5733d1 10192m1 91728ey1 |
Quadratic twists by: -4 -3 -7 |