Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912bj |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-3.7978061328051E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4387672,-3548465360] |
[a1,a2,a3,a4,a6] |
Generators |
[3323236:318702840:343] |
Generators of the group modulo torsion |
j |
-19385548183592137/78810594471 |
j-invariant |
L |
4.6940574123728 |
L(r)(E,1)/r! |
Ω |
0.052144120661314 |
Real period |
R |
11.252604686217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4557n1 10416bh1 |
Quadratic twists by: -4 -7 |