Atkin-Lehner |
2+ 3- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498q |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
1113913596837888 = 222 · 34 · 73 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53236,-4451086] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:227:1] |
Generators of the group modulo torsion |
j |
16685077730939997625/1113913596837888 |
j-invariant |
L |
4.9381518507586 |
L(r)(E,1)/r! |
Ω |
0.3156220863869 |
Real period |
R |
3.9114435140517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494bp1 |
Quadratic twists by: -3 |