Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216bd |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
55687974912 = 212 · 32 · 19 · 433 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-503528,-137693580] |
[a1,a2,a3,a4,a6] |
j |
3446954125979451625/13595697 |
j-invariant |
L |
1.433783451375 |
L(r)(E,1)/r! |
Ω |
0.1792229314227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2451b1 117648bs1 |
Quadratic twists by: -4 -3 |