Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200ce |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-13713408000 = -1 · 217 · 33 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 5 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1728,-27648] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1250:1] |
Generators of the group modulo torsion |
j |
-1115157653/26784 |
j-invariant |
L |
5.1522850500075 |
L(r)(E,1)/r! |
Ω |
0.36969717291713 |
Real period |
R |
3.4841252702539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4650bw1 111600fw1 37200dm1 |
Quadratic twists by: -4 -3 5 |