Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
121752bk |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
389029233182976 = 28 · 312 · 192 · 892 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29919,1751330] |
[a1,a2,a3,a4,a6] |
Generators |
[4177:269730:1] |
Generators of the group modulo torsion |
j |
15870749605072/2084561649 |
j-invariant |
L |
9.7416527818438 |
L(r)(E,1)/r! |
Ω |
0.51460139879735 |
Real period |
R |
4.7326206353856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856876 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40584b2 |
Quadratic twists by: -3 |