Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525cl |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
41853128625 = 33 · 53 · 7 · 116 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2181,-38117] |
[a1,a2,a3,a4,a6] |
Generators |
[173:2097:1] |
Generators of the group modulo torsion |
j |
5177717/189 |
j-invariant |
L |
9.5901278757972 |
L(r)(E,1)/r! |
Ω |
0.70021827429697 |
Real period |
R |
4.5653040048634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63525z1 525d1 |
Quadratic twists by: 5 -11 |