Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cv |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3118752 |
Modular degree for the optimal curve |
Δ |
-1.1325787596297E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3846352,4217760000] |
[a1,a2,a3,a4,a6] |
j |
27311375/49152 |
j-invariant |
L |
3.6793205486345 |
L(r)(E,1)/r! |
Ω |
0.087602870194847 |
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 |
49686bt1 49686bc1 |
Quadratic twists by: -7 13 |