Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1540c |
Isogeny class |
Conductor |
1540 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
12782924000000 = 28 · 56 · 74 · 113 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9140,285988] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:350:1] |
Generators of the group modulo torsion |
j |
329890530231376/49933296875 |
j-invariant |
L |
2.2119655135358 |
L(r)(E,1)/r! |
Ω |
0.68062756179814 |
Real period |
R |
0.5416485308774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
6160i2 24640k2 13860o2 7700d2 |
Quadratic twists by: -4 8 -3 5 |