Atkin-Lehner |
2+ 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9306a |
Isogeny class |
Conductor |
9306 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
84176790192 = 24 · 39 · 112 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2013,-31339] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:39:1] [-26:67:1] |
Generators of the group modulo torsion |
j |
45844273539/4276624 |
j-invariant |
L |
3.9134961616773 |
L(r)(E,1)/r! |
Ω |
0.71699662391782 |
Real period |
R |
1.3645448357532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448t2 9306i2 102366ba2 |
Quadratic twists by: -4 -3 -11 |