Atkin-Lehner |
3- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7917d |
Isogeny class |
Conductor |
7917 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8954127 = 32 · 7 · 132 · 292 |
Discriminant |
Eigenvalues |
1 3- -4 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6308,192287] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-14:1] |
Generators of the group modulo torsion |
j |
27752351856337081/8954127 |
j-invariant |
L |
4.3363720605615 |
L(r)(E,1)/r! |
Ω |
1.8633538398556 |
Real period |
R |
1.1635932928599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672bk2 23751a2 55419d2 102921n2 |
Quadratic twists by: -4 -3 -7 13 |