Atkin-Lehner |
2- 3- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25662v |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
726 |
Product of Tamagawa factors cp |
deg |
209088 |
Modular degree for the optimal curve |
Δ |
-12325018136610816 = -1 · 211 · 311 · 7 · 133 · 472 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 13- -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,57085,990273] |
[a1,a2,a3,a4,a6] |
Generators |
[154:-3743:1] |
Generators of the group modulo torsion |
j |
20572603352501513039/12325018136610816 |
j-invariant |
L |
10.561450839362 |
L(r)(E,1)/r! |
Ω |
0.24518886671844 |
Real period |
R |
0.059331621135496 |
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 |
76986l1 |
Quadratic twists by: -3 |