Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
36600q |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-52704000 = -1 · 28 · 33 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -4 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273,1683] |
[a1,a2,a3,a4,a6] |
Generators |
[3:30:1] |
Generators of the group modulo torsion |
j |
-70575104/1647 |
j-invariant |
L |
7.7526587469163 |
L(r)(E,1)/r! |
Ω |
1.9935341590749 |
Real period |
R |
0.16203757849731 |
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 |
73200r1 109800cd1 36600x1 |
Quadratic twists by: -4 -3 5 |