Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040cu |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
19017513216000000 = 214 · 32 · 56 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77520,-5025132] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:1530:1] |
Generators of the group modulo torsion |
j |
12577973014374481/4642947562500 |
j-invariant |
L |
5.9496940295748 |
L(r)(E,1)/r! |
Ω |
0.29500814082057 |
Real period |
R |
1.6806581486956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999251 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630r2 |
Quadratic twists by: -4 |