Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978br |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
95961198821655552 = 210 · 3 · 76 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-813133833,8924310531639] |
[a1,a2,a3,a4,a6] |
Generators |
[16947:99612:1] |
Generators of the group modulo torsion |
j |
505384091400037554067434625/815656731648 |
j-invariant |
L |
8.6714691140029 |
L(r)(E,1)/r! |
Ω |
0.15325869262121 |
Real period |
R |
1.8860200718201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122m3 |
Quadratic twists by: -7 |