Atkin-Lehner |
2+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25568a |
Isogeny class |
Conductor |
25568 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-218398269116416 = -1 · 212 · 176 · 472 |
Discriminant |
Eigenvalues |
2+ 2 -2 2 2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5231,694209] |
[a1,a2,a3,a4,a6] |
j |
3863980253888/53319889921 |
j-invariant |
L |
2.4919281774513 |
L(r)(E,1)/r! |
Ω |
0.41532136290853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25568b2 51136m1 |
Quadratic twists by: -4 8 |