Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216z |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1879910208 = 26 · 38 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-345,-1316] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:22:1] |
Generators of the group modulo torsion |
j |
97336000/40293 |
j-invariant |
L |
6.8367591962833 |
L(r)(E,1)/r! |
Ω |
1.1489823769168 |
Real period |
R |
1.4875683336856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216l1 39072f1 |
Quadratic twists by: -4 -3 |