Atkin-Lehner |
2- 3+ 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606l |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-46576656 = -1 · 24 · 32 · 73 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 2 1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42,327] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:23:1] |
Generators of the group modulo torsion |
j |
-8205738913/46576656 |
j-invariant |
L |
6.7078988299911 |
L(r)(E,1)/r! |
Ω |
1.7429794332008 |
Real period |
R |
0.16035518220071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118818w1 |
Quadratic twists by: -3 |