Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bi |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1605658492928 = -1 · 214 · 78 · 17 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -5 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2287,43345] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-392:1] [23:328:1] |
Generators of the group modulo torsion |
j |
14000/17 |
j-invariant |
L |
7.9729818372574 |
L(r)(E,1)/r! |
Ω |
0.56503457560614 |
Real period |
R |
1.1758840640719 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312a1 13328g1 53312by1 |
Quadratic twists by: -4 8 -7 |