Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342ba |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-383451684128935686 = -1 · 2 · 314 · 119 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,180711,3667599] |
[a1,a2,a3,a4,a6] |
j |
276785390413/162620946 |
j-invariant |
L |
5.1121266965838 |
L(r)(E,1)/r! |
Ω |
0.18257595344942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736bq2 37026e2 12342h2 |
Quadratic twists by: -4 -3 -11 |