Atkin-Lehner |
2- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
39494p |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19872 |
Modular degree for the optimal curve |
Δ |
654099628 = 22 · 74 · 133 · 31 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 0 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-932,-11271] |
[a1,a2,a3,a4,a6] |
j |
37291376353/272428 |
j-invariant |
L |
1.7288781800361 |
L(r)(E,1)/r! |
Ω |
0.86443909001633 |
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 |
39494x1 |
Quadratic twists by: -7 |