Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978ca |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
1352 |
Product of Tamagawa factors cp |
deg |
5840640 |
Modular degree for the optimal curve |
Δ |
4.0016119066843E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20177564,33530442000] |
[a1,a2,a3,a4,a6] |
Generators |
[-3272:255652:1] |
Generators of the group modulo torsion |
j |
7722211175253055152433/340131399900069888 |
j-invariant |
L |
9.8492648328691 |
L(r)(E,1)/r! |
Ω |
0.11364066685876 |
Real period |
R |
0.2564208534586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122g1 |
Quadratic twists by: -7 |