Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336bx |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-21023380224 = -1 · 28 · 36 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,681,1370] |
[a1,a2,a3,a4,a6] |
Generators |
[5:70:1] |
Generators of the group modulo torsion |
j |
187153328/112651 |
j-invariant |
L |
9.1900361980378 |
L(r)(E,1)/r! |
Ω |
0.74281761649734 |
Real period |
R |
1.5464826014938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11704c2 |
Quadratic twists by: -3 |