Atkin-Lehner |
3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075q |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-24864650625375 = -1 · 39 · 53 · 112 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12665,601912] |
[a1,a2,a3,a4,a6] |
Generators |
[4:740:1] |
Generators of the group modulo torsion |
j |
-91307371527/10106041 |
j-invariant |
L |
2.8591152219829 |
L(r)(E,1)/r! |
Ω |
0.65387365691849 |
Real period |
R |
1.0931451327514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42075p1 42075r1 |
Quadratic twists by: -3 5 |