Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536z |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-176552635392 = -1 · 210 · 33 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1283,-9373] |
[a1,a2,a3,a4,a6] |
j |
227910944768/172414683 |
j-invariant |
L |
3.4021862099927 |
L(r)(E,1)/r! |
Ω |
0.56703103499885 |
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 |
25536ck1 3192b1 76608bg1 |
Quadratic twists by: -4 8 -3 |