Atkin-Lehner |
7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
51667f |
Isogeny class |
Conductor |
51667 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30800 |
Modular degree for the optimal curve |
Δ |
-756456547 = -1 · 7 · 116 · 61 |
Discriminant |
Eigenvalues |
0 2 4 7+ 11- -2 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-161,1594] |
[a1,a2,a3,a4,a6] |
Generators |
[388:1783:64] |
Generators of the group modulo torsion |
j |
-262144/427 |
j-invariant |
L |
9.078785216194 |
L(r)(E,1)/r! |
Ω |
1.4325016001359 |
Real period |
R |
3.168856919692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
427a1 |
Quadratic twists by: -11 |