Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9338d |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-167619938752 = -1 · 26 · 7 · 232 · 294 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51581,4521989] |
[a1,a2,a3,a4,a6] |
Generators |
[130:-37:1] |
Generators of the group modulo torsion |
j |
-15177411906818559273/167619938752 |
j-invariant |
L |
3.6724851773902 |
L(r)(E,1)/r! |
Ω |
0.92375078837689 |
Real period |
R |
1.987811660677 |
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 |
74704g1 84042bu1 65366k1 |
Quadratic twists by: -4 -3 -7 |