Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
21726ba |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-21108587346446976 = -1 · 27 · 313 · 172 · 713 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -3 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-290417,60716193] |
[a1,a2,a3,a4,a6] |
Generators |
[773:16866:1] |
Generators of the group modulo torsion |
j |
-3715873205721319369/28955538198144 |
j-invariant |
L |
8.265467046089 |
L(r)(E,1)/r! |
Ω |
0.38500800497286 |
Real period |
R |
0.12778749525258 |
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 |
7242b1 |
Quadratic twists by: -3 |