Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414db |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-5479590250690609536 = -1 · 27 · 321 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,300361,-93186673] |
[a1,a2,a3,a4,a6] |
Generators |
[657:-20012:1] |
Generators of the group modulo torsion |
j |
49218965184023/89996344704 |
j-invariant |
L |
8.0304790431623 |
L(r)(E,1)/r! |
Ω |
0.12622245330635 |
Real period |
R |
1.1361006518941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138o1 36414cl1 |
Quadratic twists by: -3 17 |