Atkin-Lehner |
3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
106641i |
Isogeny class |
Conductor |
106641 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-175311815361363 = -1 · 311 · 176 · 41 |
Discriminant |
Eigenvalues |
2 3- -4 2 -3 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-26877,-1811669] |
[a1,a2,a3,a4,a6] |
Generators |
[1800726501794:50551294267895:2186875592] |
Generators of the group modulo torsion |
j |
-122023936/9963 |
j-invariant |
L |
7.4456985482328 |
L(r)(E,1)/r! |
Ω |
0.18556622718012 |
Real period |
R |
20.062105754313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35547d1 369b1 |
Quadratic twists by: -3 17 |