Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296bj |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
334095777792 = 216 · 39 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1755,-5238] |
[a1,a2,a3,a4,a6] |
Generators |
[253:3968:1] |
Generators of the group modulo torsion |
j |
7414875/4144 |
j-invariant |
L |
5.5924623521195 |
L(r)(E,1)/r! |
Ω |
0.79215307539887 |
Real period |
R |
3.529912668271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4662j1 37296bi1 |
Quadratic twists by: -4 -3 |