Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686by |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
5080581710568 = 23 · 33 · 77 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4313,9407] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:364:1] |
Generators of the group modulo torsion |
j |
2640625/1512 |
j-invariant |
L |
8.0419184466574 |
L(r)(E,1)/r! |
Ω |
0.65639084969659 |
Real period |
R |
2.0419537257908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098ba1 49686f1 |
Quadratic twists by: -7 13 |