Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640n |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-356750438400 = -1 · 212 · 310 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1305,34425] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:145:1] |
Generators of the group modulo torsion |
j |
-60052079296/87097275 |
j-invariant |
L |
5.86746148789 |
L(r)(E,1)/r! |
Ω |
0.86082943071747 |
Real period |
R |
3.4080279312765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640be2 28320t1 |
Quadratic twists by: -4 8 |