Atkin-Lehner |
3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075p |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-34107888375 = -1 · 33 · 53 · 112 · 174 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11+ -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1407,-21824] |
[a1,a2,a3,a4,a6] |
Generators |
[454:2017:8] |
Generators of the group modulo torsion |
j |
-91307371527/10106041 |
j-invariant |
L |
5.8166400188604 |
L(r)(E,1)/r! |
Ω |
0.38732951064046 |
Real period |
R |
1.8771613894223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42075q1 42075o1 |
Quadratic twists by: -3 5 |