Atkin-Lehner |
2+ 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
36792a |
Isogeny class |
Conductor |
36792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
220752 = 24 · 33 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-510,4433] |
[a1,a2,a3,a4,a6] |
Generators |
[17:26:1] |
Generators of the group modulo torsion |
j |
33958656000/511 |
j-invariant |
L |
6.1832708761897 |
L(r)(E,1)/r! |
Ω |
2.8799846164862 |
Real period |
R |
2.1469805223247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73584d1 36792f1 |
Quadratic twists by: -4 -3 |