Atkin-Lehner |
2- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832bm |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3697278976 = -1 · 221 · 41 · 43 |
Discriminant |
Eigenvalues |
2- -2 1 0 1 -3 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1025,-13313] |
[a1,a2,a3,a4,a6] |
Generators |
[37:28:1] |
Generators of the group modulo torsion |
j |
-454756609/14104 |
j-invariant |
L |
2.8051481361419 |
L(r)(E,1)/r! |
Ω |
0.42107605034726 |
Real period |
R |
3.3309281160336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832q1 28208m1 |
Quadratic twists by: -4 8 |