Atkin-Lehner |
2+ 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978bh |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
3.7127892901973E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23713037,-44446618996] |
[a1,a2,a3,a4,a6] |
Generators |
[-2802:1846:1] |
Generators of the group modulo torsion |
j |
12534210458299016895673/315581882565708 |
j-invariant |
L |
3.8476261342422 |
L(r)(E,1)/r! |
Ω |
0.068415328756343 |
Real period |
R |
0.93732067659094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122b3 |
Quadratic twists by: -7 |