Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31800t |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
34773300000000 = 28 · 38 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 1 -2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10833,332037] |
[a1,a2,a3,a4,a6] |
Generators |
[267:4050:1] |
Generators of the group modulo torsion |
j |
1406080000/347733 |
j-invariant |
L |
4.6744860678935 |
L(r)(E,1)/r! |
Ω |
0.6128455734445 |
Real period |
R |
0.63562587793262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63600x1 95400r1 31800m1 |
Quadratic twists by: -4 -3 5 |