Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cd |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
-3.8655993408742E+24 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,38528363,-21781495429] |
[a1,a2,a3,a4,a6] |
Generators |
[105795:-13419508:125] |
Generators of the group modulo torsion |
j |
3820420340137317041/2334869460099072 |
j-invariant |
L |
9.3987966499303 |
L(r)(E,1)/r! |
Ω |
0.04544653229733 |
Real period |
R |
3.977115090761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49686dg2 3822e2 |
Quadratic twists by: -7 13 |