Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25143k |
Isogeny class |
Conductor |
25143 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-2.249032533932E+20 |
Discriminant |
Eigenvalues |
0 3- -1 2 -1 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1784671,1166762614] |
[a1,a2,a3,a4,a6] |
j |
-26043834513719296/9317560247811 |
j-invariant |
L |
1.9987720986386 |
L(r)(E,1)/r! |
Ω |
0.16656434155324 |
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 |
75429o1 1479b1 |
Quadratic twists by: -3 17 |