Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39039j |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
173634496068033 = 33 · 7 · 114 · 137 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15467,375968] |
[a1,a2,a3,a4,a6] |
j |
84778086457/35972937 |
j-invariant |
L |
0.51610742287769 |
L(r)(E,1)/r! |
Ω |
0.51610742283232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117117p1 3003e1 |
Quadratic twists by: -3 13 |