Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296bu |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1402119548928 = -1 · 212 · 36 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-747,-57510] |
[a1,a2,a3,a4,a6] |
Generators |
[61:352:1] |
Generators of the group modulo torsion |
j |
-15438249/469567 |
j-invariant |
L |
4.5984783764553 |
L(r)(E,1)/r! |
Ω |
0.37124710415805 |
Real period |
R |
3.0966425899022 |
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 |
2331g1 4144f1 |
Quadratic twists by: -4 -3 |