Atkin-Lehner |
2- 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9338f |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-49827568 = -1 · 24 · 7 · 232 · 292 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 4 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,92,0] |
[a1,a2,a3,a4,a6] |
Generators |
[18:78:1] |
Generators of the group modulo torsion |
j |
86058173375/49827568 |
j-invariant |
L |
4.6032725063966 |
L(r)(E,1)/r! |
Ω |
1.1937802420536 |
Real period |
R |
0.96401170505175 |
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 |
74704q1 84042p1 65366r1 |
Quadratic twists by: -4 -3 -7 |