Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342h |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-216448479126 = -1 · 2 · 314 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1493,-2620] |
[a1,a2,a3,a4,a6] |
Generators |
[4:56:1] [10:110:1] |
Generators of the group modulo torsion |
j |
276785390413/162620946 |
j-invariant |
L |
4.7936497605071 |
L(r)(E,1)/r! |
Ω |
0.58620133612858 |
Real period |
R |
1.1682114427895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736bn2 37026x2 12342ba2 |
Quadratic twists by: -4 -3 -11 |