Atkin-Lehner |
2- 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25296i |
Isogeny class |
Conductor |
25296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1916928 |
Modular degree for the optimal curve |
Δ |
-2.7467449261994E+20 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3488176,2632420288] |
[a1,a2,a3,a4,a6] |
j |
-1145932555163668707889/67059202299789312 |
j-invariant |
L |
1.3721119613365 |
L(r)(E,1)/r! |
Ω |
0.17151399516709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3162a1 101184ba1 75888z1 |
Quadratic twists by: -4 8 -3 |