Atkin-Lehner |
2- 3- 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194x |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-3028923456 = -1 · 26 · 3 · 132 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 0 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1735,-28087] |
[a1,a2,a3,a4,a6] |
j |
-577614110477041/3028923456 |
j-invariant |
L |
4.4369899018061 |
L(r)(E,1)/r! |
Ω |
0.36974915848383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75582p1 |
Quadratic twists by: -3 |