Atkin-Lehner |
2+ 3- 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094k |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
36366220044 = 22 · 32 · 72 · 11 · 374 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-103517,12810620] |
[a1,a2,a3,a4,a6] |
Generators |
[186:-86:1] |
Generators of the group modulo torsion |
j |
122674052760960173257/36366220044 |
j-invariant |
L |
3.4977976778812 |
L(r)(E,1)/r! |
Ω |
0.92936689107383 |
Real period |
R |
1.8818174563114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51282bh4 119658n4 |
Quadratic twists by: -3 -7 |