Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075bv |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
149369537109375 = 37 · 59 · 112 · 172 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11+ 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13617,171666] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:138:1] |
Generators of the group modulo torsion |
j |
196122941/104907 |
j-invariant |
L |
8.053470516322 |
L(r)(E,1)/r! |
Ω |
0.50622756777559 |
Real period |
R |
3.9771987091242 |
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 |
14025z2 42075bz2 |
Quadratic twists by: -3 5 |