Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
52528bv |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-25226887168 = -1 · 214 · 73 · 672 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -4 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5000,134644] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-112:1] [-50:512:1] |
Generators of the group modulo torsion |
j |
-9841618207/17956 |
j-invariant |
L |
4.5859073603118 |
L(r)(E,1)/r! |
Ω |
1.194010385343 |
Real period |
R |
0.96019000684694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6566a1 52528bt1 |
Quadratic twists by: -4 -7 |