Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13916g |
Isogeny class |
Conductor |
13916 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5616 |
Modular degree for the optimal curve |
Δ |
3952144 = 24 · 72 · 712 |
Discriminant |
Eigenvalues |
2- 3 -3 7- 3 -6 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49,-91] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:71:27] |
Generators of the group modulo torsion |
j |
16595712/5041 |
j-invariant |
L |
6.9313900642334 |
L(r)(E,1)/r! |
Ω |
1.8470329358061 |
Real period |
R |
1.8763580036564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55664bg1 125244bd1 13916c1 |
Quadratic twists by: -4 -3 -7 |