Atkin-Lehner |
2- 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
124630t |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
567000 |
Modular degree for the optimal curve |
Δ |
-456176957500000 = -1 · 25 · 57 · 116 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- 5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9703,1093887] |
[a1,a2,a3,a4,a6] |
j |
-57022169049/257500000 |
j-invariant |
L |
2.2923252446248 |
L(r)(E,1)/r! |
Ω |
0.45846519927629 |
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 |
1030b1 |
Quadratic twists by: -11 |