Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bk |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.3956011071946E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3196293,-840984896] |
[a1,a2,a3,a4,a6] |
Generators |
[368:19440:1] |
Generators of the group modulo torsion |
j |
6359387729183/4218578658 |
j-invariant |
L |
4.874122191206 |
L(r)(E,1)/r! |
Ω |
0.08265656599883 |
Real period |
R |
3.6855225385818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7098b6 294c6 |
Quadratic twists by: -7 13 |