Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9306d |
Isogeny class |
Conductor |
9306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-385938432 = -1 · 210 · 36 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 11+ 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,99,-891] |
[a1,a2,a3,a4,a6] |
Generators |
[10:27:1] |
Generators of the group modulo torsion |
j |
146363183/529408 |
j-invariant |
L |
3.9174367877074 |
L(r)(E,1)/r! |
Ω |
0.85998608675171 |
Real period |
R |
1.1388081877301 |
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 |
74448bm1 1034c1 102366bn1 |
Quadratic twists by: -4 -3 -11 |