Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040cu |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
42600721173504000 = 213 · 3 · 53 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1097520,-442809132] |
[a1,a2,a3,a4,a6] |
Generators |
[-604:330:1] |
Generators of the group modulo torsion |
j |
35694515311673154481/10400566692750 |
j-invariant |
L |
5.9496940295748 |
L(r)(E,1)/r! |
Ω |
0.14750407041028 |
Real period |
R |
3.3613162973911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.99999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630r4 |
Quadratic twists by: -4 |