Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9114j |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-1400493696 = -1 · 27 · 3 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 5 7 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-809,8709] |
[a1,a2,a3,a4,a6] |
Generators |
[13:18:1] |
Generators of the group modulo torsion |
j |
-498677257/11904 |
j-invariant |
L |
2.4200872993847 |
L(r)(E,1)/r! |
Ω |
1.5164243234735 |
Real period |
R |
0.7979584809881 |
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 |
72912cp1 27342bt1 186c1 |
Quadratic twists by: -4 -3 -7 |