Atkin-Lehner |
2- 3- 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194ba |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-3947194368 = -1 · 211 · 33 · 13 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 -1 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,345,-1719] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-111:1] |
Generators of the group modulo torsion |
j |
4540485764879/3947194368 |
j-invariant |
L |
7.0593603737736 |
L(r)(E,1)/r! |
Ω |
0.76694328704337 |
Real period |
R |
0.13946273143035 |
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 |
75582n1 |
Quadratic twists by: -3 |