Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4884c |
Isogeny class |
Conductor |
4884 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
511805554128 = 24 · 310 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9813,375858] |
[a1,a2,a3,a4,a6] |
Generators |
[62:44:1] |
Generators of the group modulo torsion |
j |
6532108386304000/31987847133 |
j-invariant |
L |
3.2875183731408 |
L(r)(E,1)/r! |
Ω |
0.93342518850267 |
Real period |
R |
1.7609972462894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19536z1 78144be1 14652c1 122100x1 |
Quadratic twists by: -4 8 -3 5 |