Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686de |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
-5.6500986299455E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9825579,-16472608335] |
[a1,a2,a3,a4,a6] |
j |
-6468095257/3483648 |
j-invariant |
L |
4.5748232928899 |
L(r)(E,1)/r! |
Ω |
0.041589302654214 |
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 |
7098q1 49686bh1 |
Quadratic twists by: -7 13 |