Atkin-Lehner |
2- 3- 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822bg |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
14340981312 = 26 · 38 · 72 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-635,-2005] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-266:1] [-162:455:8] |
Generators of the group modulo torsion |
j |
38786091625/19672128 |
j-invariant |
L |
15.174424052774 |
L(r)(E,1)/r! |
Ω |
1.0036260889252 |
Real period |
R |
1.2599665868568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274n1 |
Quadratic twists by: -3 |