Atkin-Lehner |
2- 3+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
39192f |
Isogeny class |
Conductor |
39192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
3762432 = 28 · 32 · 23 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-548,5124] |
[a1,a2,a3,a4,a6] |
Generators |
[16:14:1] |
Generators of the group modulo torsion |
j |
71222578000/14697 |
j-invariant |
L |
5.448228044147 |
L(r)(E,1)/r! |
Ω |
2.4171407555549 |
Real period |
R |
1.1269985067334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78384g1 117576e1 |
Quadratic twists by: -4 -3 |