Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978br |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
1.3119816849296E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10066953,12165719607] |
[a1,a2,a3,a4,a6] |
Generators |
[1287:36008:1] |
Generators of the group modulo torsion |
j |
959024269496848362625/11151660319506432 |
j-invariant |
L |
8.6714691140029 |
L(r)(E,1)/r! |
Ω |
0.15325869262121 |
Real period |
R |
0.62867335727336 |
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 |
1122m1 |
Quadratic twists by: -7 |