Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026g |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1586815834847616648 = -1 · 23 · 318 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234702,74815164] |
[a1,a2,a3,a4,a6] |
Generators |
[-459:9486:1] |
Generators of the group modulo torsion |
j |
-1107111813625/1228691592 |
j-invariant |
L |
3.5661812363783 |
L(r)(E,1)/r! |
Ω |
0.24249583091065 |
Real period |
R |
1.8382693544593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342bd2 306a2 |
Quadratic twists by: -3 -11 |