Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39072h |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
2578752 = 26 · 32 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] [-4:6:1] |
Generators of the group modulo torsion |
j |
97336000/40293 |
j-invariant |
L |
7.5843377227316 |
L(r)(E,1)/r! |
Ω |
1.9900958538212 |
Real period |
R |
1.9055207085048 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39072f1 78144bo2 117216l1 |
Quadratic twists by: -4 8 -3 |