Atkin-Lehner |
3+ 5+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
25365b |
Isogeny class |
Conductor |
25365 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1262976 |
Modular degree for the optimal curve |
Δ |
-1.1815336689581E+21 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-220766,-1654201378] |
[a1,a2,a3,a4,a6] |
j |
-1189932279583198818304/1181533668958079296875 |
j-invariant |
L |
0.27792293808627 |
L(r)(E,1)/r! |
Ω |
0.069480734521604 |
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 |
76095j1 126825t1 |
Quadratic twists by: -3 5 |