Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488ct |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-340056494604288 = -1 · 215 · 36 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17313,1241631] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-792:1] |
Generators of the group modulo torsion |
j |
-148877000/88209 |
j-invariant |
L |
8.9318909495379 |
L(r)(E,1)/r! |
Ω |
0.50062573037016 |
Real period |
R |
0.74339391683282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488bp2 51744cb2 2112b2 |
Quadratic twists by: -4 8 -7 |