Atkin-Lehner |
2+ 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872k |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-40708255675136 = -1 · 28 · 76 · 17 · 433 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 0 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7740,-401072] |
[a1,a2,a3,a4,a6] |
Generators |
[109:196:1] [144:1204:1] |
Generators of the group modulo torsion |
j |
-200337725165776/159016623731 |
j-invariant |
L |
9.8694206918895 |
L(r)(E,1)/r! |
Ω |
0.24611856052093 |
Real period |
R |
1.1138963847354 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40936i1 |
Quadratic twists by: -4 |