Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25284h |
Isogeny class |
Conductor |
25284 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-18276207365151792 = -1 · 24 · 37 · 710 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1307,-6503848] |
[a1,a2,a3,a4,a6] |
j |
131072000/9709074963 |
j-invariant |
L |
2.4981917148492 |
L(r)(E,1)/r! |
Ω |
0.17844226534637 |
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 |
101136bm1 75852d1 3612b1 |
Quadratic twists by: -4 -3 -7 |