Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568bh |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-590671972417536 = -1 · 214 · 34 · 174 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20616,270036] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-1314:1] |
Generators of the group modulo torsion |
j |
236567954492423/144207024516 |
j-invariant |
L |
6.4573934716971 |
L(r)(E,1)/r! |
Ω |
0.31760125662907 |
Real period |
R |
1.2707351861941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7446c2 |
Quadratic twists by: -4 |