Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cx |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
459648 |
Modular degree for the optimal curve |
Δ |
-62868640752992256 = -1 · 219 · 3 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,91510,-5649372] |
[a1,a2,a3,a4,a6] |
j |
358321516679/265814016 |
j-invariant |
L |
7.4438423833533 |
L(r)(E,1)/r! |
Ω |
0.19589058903313 |
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 |
49686bu1 3822n1 |
Quadratic twists by: -7 13 |