Atkin-Lehner |
3- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
43725q |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
1014556640625 = 34 · 59 · 112 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ 0 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2626,18023] |
[a1,a2,a3,a4,a6] |
Generators |
[-394:1543:8] |
Generators of the group modulo torsion |
j |
128100283921/64931625 |
j-invariant |
L |
9.3611848044309 |
L(r)(E,1)/r! |
Ω |
0.77502949129554 |
Real period |
R |
3.0196221271473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8745e1 |
Quadratic twists by: 5 |