Atkin-Lehner |
3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46893r |
Isogeny class |
Conductor |
46893 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-6216938062545851487 = -1 · 36 · 77 · 114 · 294 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1656887,-829751952] |
[a1,a2,a3,a4,a6] |
Generators |
[13598:277793:8] |
Generators of the group modulo torsion |
j |
-4275768267198290017/52843101620463 |
j-invariant |
L |
5.4925255304452 |
L(r)(E,1)/r! |
Ω |
0.066485476432755 |
Real period |
R |
3.442183807867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6699d1 |
Quadratic twists by: -7 |