Atkin-Lehner |
2+ 3- 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822v |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-1752955542470393856 = -1 · 230 · 39 · 7 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13824,-63700992] |
[a1,a2,a3,a4,a6] |
Generators |
[9216:880128:1] |
Generators of the group modulo torsion |
j |
400755681091583/2404602938916864 |
j-invariant |
L |
3.9900055175468 |
L(r)(E,1)/r! |
Ω |
0.12260724127435 |
Real period |
R |
2.0339365170008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29274bq1 |
Quadratic twists by: -3 |