Atkin-Lehner |
3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39039m |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
-1080290955626883 = -1 · 33 · 73 · 11 · 139 |
Discriminant |
Eigenvalues |
2 3+ -4 7- 11+ 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7380,-1564873] |
[a1,a2,a3,a4,a6] |
j |
9208180736/223810587 |
j-invariant |
L |
1.4258453053875 |
L(r)(E,1)/r! |
Ω |
0.23764088422722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117bz1 3003b1 |
Quadratic twists by: -3 13 |