Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525m |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-14099272705546875 = -1 · 33 · 57 · 73 · 117 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4033,5715093] |
[a1,a2,a3,a4,a6] |
Generators |
[477:10587:1] |
Generators of the group modulo torsion |
j |
-262144/509355 |
j-invariant |
L |
4.1794489206442 |
L(r)(E,1)/r! |
Ω |
0.31868658722591 |
Real period |
R |
1.0928838051004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12705i1 5775a1 |
Quadratic twists by: 5 -11 |