Atkin-Lehner |
2- 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9306h |
Isogeny class |
Conductor |
9306 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
65298095419392 = 212 · 33 · 112 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67055,6688759] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:3218:1] |
Generators of the group modulo torsion |
j |
1234944318919921875/2418447978496 |
j-invariant |
L |
6.126013247196 |
L(r)(E,1)/r! |
Ω |
0.62061655693939 |
Real period |
R |
0.20564271860977 |
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 |
74448r2 9306b2 102366d2 |
Quadratic twists by: -4 -3 -11 |