Atkin-Lehner |
3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725t |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1052626640625 = 35 · 57 · 7 · 892 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -6 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3688,70367] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:167:1] [-58:329:1] |
Generators of the group modulo torsion |
j |
355045312441/67368105 |
j-invariant |
L |
7.1044154634377 |
L(r)(E,1)/r! |
Ω |
0.83056096358807 |
Real period |
R |
0.85537555638863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9345a1 |
Quadratic twists by: 5 |