Atkin-Lehner |
2- 3- 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822bc |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
315392 |
Modular degree for the optimal curve |
Δ |
-42845090158836 = -1 · 22 · 317 · 7 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26357,1683393] |
[a1,a2,a3,a4,a6] |
j |
-2777593363840009/58772414484 |
j-invariant |
L |
5.1359359228221 |
L(r)(E,1)/r! |
Ω |
0.64199199844551 |
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 |
29274e1 |
Quadratic twists by: -3 |