Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85668h |
Isogeny class |
Conductor |
85668 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-883002692352 = -1 · 28 · 3 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,323,45263] |
[a1,a2,a3,a4,a6] |
j |
8192/1947 |
j-invariant |
L |
1.3728454317093 |
L(r)(E,1)/r! |
Ω |
0.68642272781941 |
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 |
7788a1 |
Quadratic twists by: -11 |