Atkin-Lehner |
7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
51667h |
Isogeny class |
Conductor |
51667 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4632 |
Modular degree for the optimal curve |
Δ |
-51667 = -1 · 7 · 112 · 61 |
Discriminant |
Eigenvalues |
0 -2 2 7- 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7,-16] |
[a1,a2,a3,a4,a6] |
j |
-360448/427 |
j-invariant |
L |
1.3874766381145 |
L(r)(E,1)/r! |
Ω |
1.3874766384818 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51667a1 |
Quadratic twists by: -11 |