Atkin-Lehner |
3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104181t |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
-3217328587869381909 = -1 · 317 · 73 · 116 · 41 |
Discriminant |
Eigenvalues |
-1 3- -1 7- 11- -3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,85484,85768277] |
[a1,a2,a3,a4,a6] |
Generators |
[-364:2723:1] [2177:101822:1] |
Generators of the group modulo torsion |
j |
38996155237031/1816098112269 |
j-invariant |
L |
8.6402022975873 |
L(r)(E,1)/r! |
Ω |
0.19113782337969 |
Real period |
R |
0.4431768877104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
861b1 |
Quadratic twists by: -11 |