Atkin-Lehner |
2- 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
71638p |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-82813528 = -1 · 23 · 72 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 2 0 7- -3 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43,433] |
[a1,a2,a3,a4,a6] |
j |
-179706625/1690072 |
j-invariant |
L |
4.9242506313437 |
L(r)(E,1)/r! |
Ω |
1.6414168827692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71638m1 |
Quadratic twists by: -7 |