Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64736v |
Isogeny class |
Conductor |
64736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
2394714112 = 212 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 1 -4 7- 2 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-1841] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:28:1] [-6:17:1] |
Generators of the group modulo torsion |
j |
18496/7 |
j-invariant |
L |
9.6735186451366 |
L(r)(E,1)/r! |
Ω |
1.1123277437182 |
Real period |
R |
1.4494407036316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64736d1 129472bp1 64736m1 |
Quadratic twists by: -4 8 17 |