Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574dc |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1244805408 = 25 · 38 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-547,4577] |
[a1,a2,a3,a4,a6] |
Generators |
[8:23:1] |
Generators of the group modulo torsion |
j |
3053190217/209952 |
j-invariant |
L |
12.197007912418 |
L(r)(E,1)/r! |
Ω |
1.5039879376224 |
Real period |
R |
0.2027444437437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722dm1 35574br1 35574bf1 |
Quadratic twists by: -3 -7 -11 |