Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536v |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-5.2659975554887E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 -2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49594105,-173940316199] |
[a1,a2,a3,a4,a6] |
Generators |
[53187:12150880:1] |
Generators of the group modulo torsion |
j |
-3293471763919519109730496/1285643934445484858643 |
j-invariant |
L |
3.493869318838 |
L(r)(E,1)/r! |
Ω |
0.027906097823194 |
Real period |
R |
6.9556070603761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536bf2 12768bd1 76608cq2 |
Quadratic twists by: -4 8 -3 |