Atkin-Lehner |
2- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
40880y |
Isogeny class |
Conductor |
40880 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-4372327006208000 = -1 · 218 · 53 · 73 · 733 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103880,13308400] |
[a1,a2,a3,a4,a6] |
Generators |
[-268:4672:1] [170:-730:1] |
Generators of the group modulo torsion |
j |
-30266609098347721/1067462648000 |
j-invariant |
L |
7.6663914949399 |
L(r)(E,1)/r! |
Ω |
0.4341138556683 |
Real period |
R |
0.49055176775242 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110c2 |
Quadratic twists by: -4 |